As an art newbie, you can either blindly walk into a gallery or do a bit of research beforehand. Without thinking of this as a homework assignment, view research as your way to interest a girl who genuinely likes art. If there's a specific exhibition, research the artist. Get to know the work being shown. In the age of rapidly growing mass media, the Internet is your best friend when it comes to artistic research. The more you know when approaching a girl in a gallery, the more likely you'll be able to hold a conversation.