Take her to the zoo (make sure she likes zoos, tho -- some don't). if not the zoo, maybe a botanic garden or an art museum. Or a street fair or outdoor holiday lights display at night. Anyplace that gives you lots of time to talk and walk together. Maybe buy her a small souvenir of the visit? Follow it with dinner at a nice quiet restaurant (more talking), maybe in a quiet corner. The main thing is that the more you two talk, the more special it will feel to her, trust me.
Depends on what she likes... she likes movies? Take her to her type of movie at the theaters, or rent a movie. Restraunts, anyone will do! McDonald's, Burger King, Olive Garden, cheap or expensive it will be fine. Want to do something at the house? Play a board game while you watch a movie, play cards, dice, be creative! Know a place you guys can walk and talk outdoors, that will be fine too.
Too bad there aren't any drive-in movies around, they were the best! Take a picnic to someplace you can be almost alone, like the city park if it has a gazebo, or if the weather's good. Take music, blankets, and just sit, eat, talk, and listen to the music.