You might want to spend some time browsing the exhibits at Tolstoy Literary Museum, Pushkin Museum of Fine Arts, or Pushkin House Museum on Arbat. Cathedral of Christ the Savior, Memorial Office Av Lunacharsky, and Anton Chehov's Theater are some of the notable landmarks to see in the area. You can watch performances at Theater of Modern Drama, The Cherry Orchard Theater, and Chekhov Art Theater if you're interested in local theater.