Our Professor broke us up into groups of 2 and it just so happened that I ended up with her. The group assignments only last about 3 or 4 days (class only meeting twice a week) and the way the assignment is set up we are pretty much forced to ask "get to know you" questions.

Ive talked to her for 2 days (class lasts about 2 hrs) and she talks a lot, and maintains a lot of eye contact. We'll crack jokes and give eachother a nice chuckle here and there. I don't want to assume she is flirting but she does seem very kind and friendly.

I am kind of socially awkward and I'm sure she feels that when I talk to her but thankfully she stays cool with me. I really want to, at the very least, gain a good friendship with her before I'd think about asking her out. What should I do?