All great advice, but I agree with Cerisa... you go girl.

Ask her to walk on the seashore. Be yourself, talk and have a good time and enjoy being with her and afterwards tell her you had so much fun you would like to do it again soon and say the things cerisa said to tell her and you would like spending more time with her because she makes you love being around her. That way she doesn't feel pressured into being your girlfriend but it opens the door for her to fall for you.