You might want to spend some time browsing the exhibits at Yekaterinburg History Museum, Nature Museum, or Fine Arts Museum. Church on Blood in Honor of All Saints Resplendent in the Russian Land, Rastorguyev-Kharitonov Palace, and Church of Ascension are some of the local landmarks to explore. You can watch performances at Puppet Theatre, Yekaterinburg Circus, and Ural Philharmonic Orchestra if you're interested in local theater.