You might want to spend some time browsing the exhibits at Alexander Arbuzov and Boris Arbuzov Memorial House, Gabdulla Tukay Literary Museum, or State Museum of Arts of the Republic of Tatarstan. While you're exploring, swing by Bauman Street, Anniversary Arch, and M. Dzhalil Tatar Academic State Opera and Ballet Theater to learn a bit about the area. You can watch performances at Ekijat Tatar State Puppet Theatre, Tatar State Academic Opera and Ballet Theatre, and Kazan State Theater of Young Spectators if you're interested in local theater.