You might want to spend some time browsing the exhibits at Yekaterinburg History Museum, Sverdlovsk Railway Museum, or Boris Yeltsin Presidential Center. Sights like Rastorguyev-Kharitonov Palace, Church on Blood in Honor of All Saints Resplendent in the Russian Land, and Opera and Ballet House are landmarks to visit in the area. You can watch performances at Puppet Theatre, Yekaterinburg Theater for Young Spectators, and Yekaterinburg Circus if you're interested in local theater.