Wooing a woman is a lot like making a friend. Start small. Invite her to an event with a group. If that goes well, invite her to get coffee or ice cream with you. If that goes well, try a cultural event like a concert or film or lecture, which involves finding out about her interests. The BC events calendar can be useful: events.bc.edu. And so on… Sometimes it’s as simple as hanging out or going for a walk. Be honest & respectful, and have fun.
Ah, good point. This writer should be asking how to woo a 女孩 (girl). If he’s looking for a 女朋友 (girlfriend), that could imply she’s already a girlfriend of someone else! (I supposed he meant he was looking for his future-girlfriend, but that might sound as if he’s going to undertake time-travel.)