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, Cathedral of Christ the Savior, and Sergei Eisenstein Apartment Museum 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 Theater of Russian Drama if you're interested in local theater.