Be sure to stop at every stop sign to see all the sights. Have your doors unlocked and windows down too - it only enhances the experience.
Take her to the Aquarium and ride on the train. I like the sharks. I didn't eat there though, I heard the food sucks.
Don't forget to have a big sign on the side of your car, "KKK".. Krispy Kreme Konvention. People there love donuts.
Sweet, someone remembers that place! It was a crappy amusement park, even back when I was a kid. But to the OP, that is a pretty broad question. It depends on what your friend thinks of as fun. There are a ton of things to do in this city. You might want to find out what she likes before we give suggestions. I remember a friend of mine from a small city thought the traffic and noise of downtown was fascinating, so we went on top of Live and watched the traffic go by.