You might want to spend some time browsing the exhibits at Yekaterinburg History Museum, Fine Arts Museum, or Boris Yeltsin Presidential Center. Sights like Church on Blood in Honor of All Saints Resplendent in the Russian Land, Rastorguyev-Kharitonov Palace, and Romanov Family Memorial are landmarks to visit in the area. You can watch performances at Puppet Theatre, Yekaterinburg Circus, and Ural Philharmonic Orchestra if you're interested in local theater.