Probably the things you will enjoy the most will be the food. Try some ranch dressing, get a cheeseburger, have some regional specialties like BBQ(every state does it different), Cajun or even pizza (NY style is very different from Chicago).
All of that said, my favorite thing about the US is the national parks, especially out west they are incredible. Some of my favorites being: Zion, Bryce Canyon, Yosemite, Yellowstone, Arches, Monument Valley and the Grand Canyon. Even people that live here not many have had the chance to see these places, but they can still get crowded depending on the time of year.
good luck, I hope you have a great time.