The gig is a Sweet Sixteen party for Taylor Stiltskin (played with pitch-perfect narcissism by Alexandra Breckenridge). Her father is a massive Hollywood action producer (represented on a screen by a dismissive George Takei). The setting allows Party Down to pivot from its usual "Hollywood has-beens" trope to a critique of "Hollywood future-stars." Taylor is a monster of entitlement, treating the staff with the disdain usually reserved for paparazzi.
For those utilizing the efficient to store this gem on a media server, you are preserving a high-quality snapshot of comedic discomfort. Here is an informative look into the chaos of the sixth episode. party down s01e06 x265