Short answers, pulled from the story.
Frist Campus Center is the primary social gathering space at Princeton University, combining the former Palmer Physics Lab with a modern addition completed in 2001. The building was named for the Frist family, whose fortune came from the private hospital business.
Frist Campus Center was designed by Venturi, Scott Brown & Associates. The firm's principals include Robert Venturi, a Princeton alumnus, and his partner Denise Scott Brown.
The Frist family endowed the campus center with money made in the private hospital business. The building takes its name from that gift.
Room 302 is a lecture hall that has been restored to the exact condition it held when Albert Einstein lectured there. The room preserves a direct connection to the building's earlier life as Palmer Physics Lab.
The television drama House used the exterior of Frist Campus Center for shots of the fictitious Princeton-Plainsboro Teaching Hospital. That hospital is a fictional institution that exists only in the show.
Extensive renovations were carried out on the 100 level of Frist Campus Center in 2008 and 2009 by James Bradberry Architects.