Obviously khabah can speak to it much more than I can, but we actually did quite a bit of sightseeing during our visit a few years ago. We really enjoyed a tour of the Grand Mosque, the Kuwait museum, and outside of the city at the Red Fort. As he and the others mentioned, the food was fantastic. Our favorite meal was in the souk - we sat at a random restaurant that was clearly busy with locals and the owner/manager came out and seemingly brought us the entire menu.