You might want to spend some time browsing the exhibits at Nature Museum, Museum of Stone-cutting and Jewelry Art History, or Boris Yeltsin Presidential Center. While you're exploring, swing by Church on Blood in Honor of All Saints Resplendent in the Russian Land, Rastorguyev-Kharitonov Palace, and Church of Ascension to learn a bit about the area. You can watch performances at Yekaterinburg Circus, Amphitheatre, and Ural State Variety Theater if you're interested in local theater.