The world premiere event will be directed by Anita Maynard-Losh.
The Boston company's 2014-15 season will also include Stephen Sondheim's Sweeney Todd and the Boston premiere of Lynn Nottage's Intimate Apparel.
George C. Wolfe is set to direct the Broadway-bound production.
The theatrical rising stars discuss how they got the likes of Audra McDonald, Tina Fey, and more to appear in one-night-only projects.
The evening will benefit Roundabout Theatre Company's New Play Initiative.