Laugh Boston’s space at the Westin Boston Waterfront Hotel in the Seaport District isn’t ready for business yet, but the comedy club will fire its first shot across the bow June 22 with its “Legends of Boston Comedy” show at the Citi Shubert Theatre. Featuring the bedrock of the local scene — Steve Sweeney, Lenny Clarke, Tony V, and Don Gavin — it will be part of a Laugh Boston series, presented at the Shubert in association with the Citi Performing Arts Center. The show “pays respects to the people who really brought the scene, what it is today, to the city,” says John Tobin, who founded the club with Norm Laviolette and Chet Harding of Improv Asylum. “The scene is what it is today because of all these people. It’s the right thing to do. Plus they’re hilarious.” Future dates in the series feature Danvers native Nick DiPaolo (Sept. 14), “The Onion Live!” (Oct. 18), and Maine native Juston McKinney (Nov. 9). Tobin says he expects Laugh Boston to open at the Westin in late summer.