You might want to spend some time browsing the exhibits at Ural Geology Museum, Yekaterinburg History 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 Novo-Tikhvinskiy Convent are landmarks to visit in the area. You can watch performances at Puppet Theatre, Yekaterinburg Theater for Young Spectators, and Amphitheatre if you're interested in local theater.