We are lucky to live in a time where being bisexual, gay, lesbian, transgender, etc is a bit more accepted. Liking somebody or even love shouldn't ever be based on the gender/sex of the other person. It is simply an emotion that in the end makes us grow to be better people.
I agree with Katt ask her out to a movie and just kick it with her. Have a few friends with you two and get to know her. It's easier whether you are going on a same or different sex date. Good luck and I hope you have fun.