You might want to spend some time browsing the exhibits at Metro Museum, New Tretyakov Gallery - Museum of Modern Art, or Museum of History of Moscow. 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 Shalom Theater if you're interested in local theater.