First Date Ideas

I am a 19 year old student who has never been out on a date and has only kissed a few girls in clubs etc., nothing more.
There is a girl that i fancy like mad in one of my lectures and i have no problems talking to her and as well as this i think she may like me too. I want to ask her out, however, i have no idea where to go on a first date. the most annoying thing is that i have loads of friends in relationships but none of them ever mentioned their first dates and so i never get any ideas from them and im too embarrassed to ask them outright. If any of you could give me any ideas i would be very thankful.