You might want to spend some time browsing the exhibits at Anna Akhmatova Literary and Memorial Museum, General Staff Building, or Alexander Pushkin Museum and Memorial Apartment. Strelka, Russian Admiralty, and State Hermitage Museum are some of the local landmarks to explore. You can watch performances at Mariinsky Theatre, Rimsky-Korsakov Conservatory, and Alexandrinsky Theatre if you're interested in local theater.