Carol Willis has written a very detailed summary of synastry aspects between two charts. Here's her notes on your Sun aspecting another person's Moon:
Another's planets conjoining our Sun tend to get our
attention and are hard to ignore. There are issues of
respect, power, admiration, authority, identity, self,
health and vitality, well-being, self-confidence, radiance,
Moon conjunct Sun: usually a strong attraction, lots in common, quick bonding and mutual understanding, openness to each other. Even if not a tight conjunction, having Moon and Sun in the same sign in any degree is a very important aspect in synastry, and usually makes for high compatibility
potential and attraction if not mitigated by other astrological and social/ethical/therapeutic factors. Moon opposition Sun usually brings out the complementary nature of both, and is actually a positive aspect in relationship
most of the time.
Check out her excellent article on synastry here.
The above image is 'Oh Happy Day' by Alfred Gockel