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. Novodevichy Convent, Novodevichy Cemetery, and Cathedral of Christ the Savior are monuments to see when you're exploring the area around Gagarinsky. You can watch performances at Great Moscow Circus, Moscow International House of Music, and The Cherry Orchard Theater if you're interested in local theater.