You might want to spend some time browsing the exhibits at Nature Museum, Wonder Park Galileo, or Boris Yeltsin Presidential Center. While you're exploring, swing by Park Youth Palace, Church on Blood in Honor of All Saints Resplendent in the Russian Land, and Rastorguyev-Kharitonov Palace to learn a bit about the area. You can watch performances at Yekaterinburg Circus, Puppet Theatre, and Teatron Maly Drama Theatre if you're interested in local theater.