The musical will be presented as a benefit for The Actors Fund.
Ullman will appear along with The Hunger Games star Josh Hutcherson.
Michael McKean and Tony Sheldon also star in this New York City Center Encores! production.
The production also stars Michael Berresse, Tony Sheldon, and Michael McKean.
Douglas Carter Beane adapted Betty Comden and Adolph Green's screenplay for the show.
Brian Stokes Mitchell will lead the company of the New York City Center special event.
Thomas Kail, Tony Sheldon, and Lucy Simon will also serve.