There are quite a few things to do in Kuwait City. It is possible to have lunch or dinner in the Kuwait towers (the three towers by the sea with water storage). It is worthwhile to take a tour of the Grand Mosque in Kuwait, just kindly ask the security guard in front of the entrance to the mosque. Across the street from the Grand Mosque is the Kuwaiti Stock Exchange, which seems to be open to the public. When I was there I was able to walk around on the trading floor; however, it was a bit awkward because everybody in the building was wearing the traditional white robes.

While in Kuwait it is also crucial to smoke Shisha (Hookah/Hubbly Bubbly) at a cafe in Kuwait. There are also quite a few great restaurants, specifically I would recomend the Iranian, Lebanese, and Bedoin foods.