One of the first things to see in Sarajevo is Bascarsija, the old quarter and the historical and cultural center of the city. You can stroll through its streets, buying typical crafts from the many shops and meet the local people while shopping at the bazaar. This neighborhood is home to the Sebilj, one of the most emblematic places to visit in Sarajevo. There is a kiosk with two fountains, and legend has it that if you drink from them you'll have the heart of the city in you for a long time, so definitely add it to your list of Sarajevo activities.
Nearby there are also two important attractions in Sarajevo: the Gazi Mosque Husrev-beg, considered the most important Islamic structure throughout Bosnia and Herzegovina, and the Sahat-kula, the clock tower dating from the 18th century. Many more Sarajevo attractions include the cobblestone streets, the mosques, and the Oriental style shops. For the best views of the city, go to the Yellow Fortress or the surrounding hills, both of which offer fantastic views, but be careful because some land mines still exist in some of the hills.
Visiting the many museums is one of the other interesting things to do in Sarajevo if you're looking for culture. There's the Museum of Sarajevo, the Museum of Contemporary Art Ars Aevi Sarajevo, National Museum of Bosnia and Herzegovina, the Bosnian Institute, and some libraries, like the Gazi Husrev. Still wondering what to do in Sarajevo? Check out the descriptions shared by minube users to find out all about the stuff to do in Sarajevo.