The New Moon on Monday, June 3, 2019, at 12° Gemini makes no major planetary aspects. But there are two other aspects in the new moon June 2019 astrology chart that bring good fortune, especially with love and money.
The June 2019 new moon joins fixed star Aldebaran in the Eye of the Bull. This important star gives an incredible amount of energy and courage to take advantage of your new moon opportunities. You can succeed in realizing your dreams but the stars and the planets also stress the need for caution. So avoid overoptimism and protect what you already and have.
New Moon Meaning
A new moon represents the end of one cycle and the beginning of another new 28-day cycle. Sun conjunct Moon gives an invigorating burst of energy and initiative. So this is an excellent time for making a fresh start, turning over a new leaf, or starting a new project. You can also question old habits, behaviors, and beliefs as you search for new and inventive ways to make progress.
New Moon June 2019 Astrology
The June 4 new moon at 12°33′ Gemini Sign actually appears in Taurus Constellation as shown in the image below. In fact, the new moon is just within orb of one of the most important stars used in astrology, Aldebaran, the Eye of the Bull. See Precession of the Equinoxes to discover why Taurus Constellation is in Gemini Sign.
The new moon makes no direct planetary aspects but there are some aspects between other planets. Two of these aspects are under one-degree orb and both very fortunate.
New Moon Stars
The fixed star Aldebaran at 12°03′ Gemini is 2°30′ from the new moon, which is at the limit of the suggested orb for these stars. But Aldebaran is a massive star and one of the fifteen Behenian fixed stars. As one of the four Royal or Archangel stars it represents Michael, the celestial General. Also, the alignment of Sun and Moon at a new moon is the most powerful combination in astrology. So the influence of Aldebaran will be felt during this moon phase.
Aldebaran with a new moon is very fortunate. It gives exceptional energy, courage, and perseverance, but also a high state of anxiety and stress. Success, honor, and recognition are likely, especially in business or war. But there is also the risk of loss through enemies or the law. 
The constellation map above shows new moon June 2019 is also aligned with some minor stars in Orion the Hunter. The list below shows the Pi Orion stars are in fact the closest fixed stars to the new moon by longitude. These stars, including the named star Tabit, make up the lion skin or bullhide of Orion’s Shield.
Orion Constellation is said to give a strong and dignified nature, self-confidence, inconstancy, arrogance, violence, impiety, prosperity in trade and particularly by voyages or abroad, but danger of treachery and poison. 
The two small stars in Perseus Constellation are also in his Shield. Perhaps these shields give some protection against enemies or a note of caution about protecting what you already have.
Caution and wariness are also qualities of the Hare. The star list above shows Epsilon Leporis is only 0°15′ from the new moon. Lepus Constellation gives a quick wit, timidity, circumspection, fecundity, and defiance. 
Venus trine Pluto increases your need for love and affection while making you feel more deeply about loved ones. It adds intensity and passion for relationships and those things which bring you joy and satisfaction. Increased sex drive and karmic attraction is a good omen if dating. A new relationship would be very intense indeed and may involve an affair or some other complication.
Obsessions and fascinations are possible, not only in relationships. You may be drawn to a particular style of fashion, cosmetics, jewelry or tattoo. You may feel compelled to research a wealth creation scheme or choose a good investment. You can turn a big profit if your motivation is pure, to bring joy and comfort to yourself and most importantly your loved ones.
Jupiter square Neptune (exact on June 16) can test your faith due to an embarrassing loss of face or some disappointment. You may have been too trusting or over-idealized a romantic interest. Avoid overoptimism, drugs, gambling, cults, and get-rich-quick-schemes. Rely on the advice of trusted friends and family.
Saturn sextile Neptune (exact on June 18) helps you make your dreams come true with hard work and a sensible, realistic approach. You will understand your own limitations but will be optimistic at the same time. Spiritual wisdom brings patience and self-discipline to sacrifice short-term gratification for long-term success.
New Moon June 2019 Summary
This is a lucky new moon because it is close to the fixed star Aldebaran in the Eye of the Bull. It gives great energy and courage which works so well with a new moon, a time for brave new starts. Aldebaran brings success in business and in war but also causes high anxiety and danger from enemies. Other stars around 12° Gemini provide a sense of caution and wariness, and perhaps some protection against enemies.
Good fortune also comes from the planetary aspects at the time of this new moon. This is an especially good moon phase for falling in love and for making money. You can make your dream come true but like the stars, the planets also caution against being over optimistic or overzealous.
So be realistic about the risk of deception and scams with online dating. Be wary about borrowing money for investments and be suspicious about offers that seem too good to be true.
The effects of the June 3 new moon lasts four weeks up to the July 2 solar eclipse. The best time for making a fresh start and for beginning new projects is during the first two weeks of this new moon cycle. This waxing phase of the Moon lasts from June 3 to the June 17 Full Moon.