You might want to spend some time browsing the exhibits at State Museum of Arts of the Republic of Tatarstan, Alexander Arbuzov and Boris Arbuzov Memorial House, or V.I. Lenin House Museum. Sights like Bauman Street, Suyumbike Tower, and Anniversary Arch are landmarks to visit in the area. You can watch performances at Tatar State Academic Opera and Ballet Theatre, M. Dzhalil Tatar Academic State Opera and Ballet Theater, and Ekijat Tatar State Puppet Theatre if you're interested in local theater.