This is a high-class ryotei restaurant called Omi Shonin-tei (近江商人亭). Built in the 1920s, it used to be an Omi Merchant's second home who sold hemp cloth.
This is also one location where the film Idai Naru, Shurararabon (偉大なる、しゅららぼん The Great Shu Ra Ra Boom) was filmed. The Natsume family's dojo scene.