You might want to spend some time browsing the exhibits at Museum of the Defense and Siege of Leningrad, Anna Akhmatova Museum at the Fountain House or Cruiser Aurora. While you're exploring, swing by Tauride Palace, Smolny Institute and Smolny Cathedral to learn a bit about the area. You can check out the local talent at Oktyabrskiy Big Concert Hall, Alexandrinsky Theatre and Mariinsky Theatre.