Great suggestions thus far, for sure! My top pick for SLC with kids are all that Temple Square has to offer (great place to walk around and take tours, listen the choir perform, and all FREE!) and the Children's Museum at the Gateway. You could spend all day there playing with your kids. Worth every penny :D
Food is basically same as most Western restaurants. If you have a favorite restaurant, SLC probably has it. The Lion Hose Pantry is affordable and delicious. If money is no object, then the restaurants (The Garden and The Roof) at the top of the Joseph Smith Building areincredible! If you have a certain type of food you like, as the conscierge at the hotel, they'll have great ideas too.
You could just take a ride on the Trax and see things that way. And if you have a car, you could take a drive to Park City and see the Olympic venues and take in the outlet stores. Mountains are beautiful and full of snow this time of year.
Hope the procedure is as successful as you hope and your daughter does GREAT! Good luck. You will LOVE Primary Children's Hospital. Every single person that works there is amazing. You will be glad you came.