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 Shukhov Tower are some of the notable landmarks to see in the area. You can watch performances at Great Moscow Circus, Drama Theater Vernadskogo 13, and Moscow International House of Music if you're interested in local theater.