The Broadway legend will trace the highlights of her career in seven performances at Birdland.
The heir to musical-theater royalty returns to the stage after a long battle with breast cancer.
His debut album, A Lot of Livin' to Do, will be available May 20.
The singer took in a concert on Monday night.
The event will benefit Lauper's True Colors Fund, which raises awareness about LGBT youth homelessness.
The concert marks Jackson's Birdland debut.