Advice to start a relationship or something.

Basically, there is this girl I see around my collage and she's really pretty and we share some classes together. From what I could tell, she likes to keep to herself and she's a quiet person (so we have something in common lol). The problem though, how do I even start to try and talk to her? My current plan is to try and do nice gestures so she sees me as a friendly face, but after that idk.

I never had a relationship before but I want to use my next 2 years of collage to try and atleast he a bit more social. Any advice?