You'll want to browse the collections at Yaroslavl Art Museum, History of Yaroslavl Museum, and Museum of the City of Yaroslavl. Sights like The Feodor Volkov Drama Theatre and Church of St Nicholas the Miracle-Worker highlight some of the local culture. You can watch performances at Volkov Theatre, Yaroslavl State Young Spectators Theatre, and Strannik Studio-Theater if you're interested in local theater.