The new musical begins performances in September at the Neil Simon Theatre.
The Jon Robin Baitz drama is directed by Trip Cullman.
Steve Cosson wrote and directed the new production.
The festivities included cake and a rousing rendition of "Happy Birthday."
The announcement was made at 54 Below.
The Broadway musical also welcomed Kristin Chenoweth, Jane Krakowski, and Jim Dale, among others.
Fierstein's new drama, directed by Joe Mantello, plays the Samuel J. Friedman Theatre.
The 30th annual Helen Hayes Awards were presented at a glitzy event on April 21.
The annual event benefits Broadway Cares/Equity Fights AIDS.
John Cameron Mitchell and Stephen Trask's rock musical is directed by Michael Mayer.