Monday evening May 21st the first quarter Moon and the inner planet Venus will each be in their own respective conjunctions. Venus is within 1o from the open star cluster, M-35, located near the foot of Castor, one of the Gemini Twins. Venus currently shines with an apparent magnitude of -3.96, and at that brightness will outshine the 5th magnitude of M-35.
Nonetheless the two should be visible with binoculars, as this graphic simulates, as well as a couple of 3rd magnitude stars nearby.
Further toward the east, and unmistakable is the first quarter Moon. During the night hours the Moon, as it orbits eastward, will pass within about 1.5o from the star Regulus in Leo the Lion. Since Regulus is very close to the ecliptic there is a good chance that the Moon and Regulus will have a regular repetitive pattern or cycle of conjunctions. As in the months that Regulus is above the horizon, which include the next two months, June 18th and July 15th.