You might want to spend some time browsing the exhibits at Alexander Arbuzov and Boris Arbuzov Memorial House, Baqi Urmance Museum, or State Museum of Arts of the Republic of Tatarstan. While you're exploring, swing by Bauman Street, Suyumbike Tower, and Anniversary Arch to learn a bit about the area. You can watch performances at Tatar State Academic Opera and Ballet Theatre, Galiaskar Kamal Tatar Academic Theatre, and Na Bulake Youth Theater if you're interested in local theater.