Personally, I love movies! So, yes, I think a movie can be a great first date. Especially if you both like movies! I would recommend though, that you do something either before of after the movie such as go somewhere for coffee or a burger or dessert so that you do have some personal one-on-one time together. It will make her feel special and it will let her know that it is more about her than just someone to go to the movie with.