You might want to spend some time browsing the exhibits at Multimedia Art Museum, Tolstoy Literary Museum, or New Tretyakov Gallery - Museum of Modern Art. While you're exploring, swing by Pushkin House Museum on Arbat, Cathedral of Christ the Savior, and Arbat Street to learn a bit about the area. You can watch performances at The Cherry Orchard Theater, Anton Chehov's Theater, and Theater of Modern Drama if you're interested in local theater.