South Shore YMCA officials said demolition of the old YMCA building began on Feb. 1, and the site will be a landscaped parking lot by May. “Parking is tight with the old building still there, but we do have additional parking across the street at Quincy High School and at Stop & Shop while we wait for our permanent parking lot to be completed,” Sara Trubiano, director of marketing for the organization, said in an interview. Asbestos abatement was finished in January, with an independent consultant providing a clearance report. Soon afterward, demolition began on the pool addition and newer entry vestibule, which were both constructed in 1997. The main building will be torn down with a claw-like crane and loaded into trucks for disposal in the coming weeks, contractors said.