Lynch will also be joined by Broadway veteran Cheyenne Jackson for the concerts.
The life and career of the famed songwriter is just days from its off-Broadway debut.
Tony winner Pam MacKinnon directs the new Sarah Treem drama.
The group was honored on June 17.
The event honored three visionaries who have made a difference in the LGBT community.
Jack O'Brien directs the romantic comedy for The Public Theater.
The musical will conclude the theater's 2013-14 season.
Liz Lerman's theatrical dance piece explores war and healing.