You might want to spend some time browsing the exhibits at New Tretyakov Gallery - Museum of Modern Art, Pushkin House Museum on Arbat, or Pushkin Museum of Fine Arts. While you're exploring, swing by Cathedral of Christ the Savior, Arbat Street, and The Cherry Orchard Theater to learn a bit about the area. You can watch performances at State Theatre of Actor, Moscow Arts Theatre, and Bolshoi Theatre if you're interested in local theater.