The official job description, which was posted to the American Alliance of Museums website, specifies a long list of duties associated with the position. Besides maintaining and updating the archival database and acting as courier to locations where artifacts are scheduled to go on display, you'd also be tasked with assisting in "mansion upkeep" and helping physically install exhibits. It sounds like a demanding job that would require a bit of travel and flexibility on the weekends and holidays as needed, but hey, you'd be getting paid to hang out at Prince's house all the time.
In terms of qualifications, the ideal candidate would have some previous experience handling, storing, and conserving artifacts, and a background in historical studies and research. They're also obviously looking for someone with at least "some knowledge of Prince is helpful," so your encyclopedic expertise in all things Prince Rogers Nelson could get you pretty far. There's no mention of what you can expect for pay.