What are your interests? Sports? Theater? Music? Art? You can find just about anything in SLC. Temple Square and the Mormon Tabernacle Choir are a big tourist draw. If you like to do genealogy--or just want to give it a try--the world's largest family history library is also across from Temple Square. The Delta Center where the Jazz play is within walking distance of Temple Square. Then there are the Olympic venues spread around the area. The torch and arch are located on 400 South (4th South) next to Rice-Eccles Stadium at the U of U. This is a short drive from downtown or you can take light rail (traxx). The skating oval is in Kearns, ski areas in Park City and up north towards the Ogden area. If you like living history, you can visit the "This is the Place" historical park. It is a replica of early pioneer settlement in SLC.
www.thisistheplace.org
As for dining, what are your tastes? DH's favorite restaurant is El Chihuahua. He also likes the Bohemian Brewery. (check out the vespas upstairs.) I like Citrus Grill. We both love The Roof. Across the hall from The Roof is the Garden Restaurant. They are run by the same food service. Both have the best creme brulee I have ever tasted. If you do go to Temple Square, try to eat at The Roof (open evenings) or the Garden. They are in the Joseph Smith Building (formerly the Hotel Utah). There are many other wonderful places to eat.