RORY: But if I win then I have to be vice president next year. Plus, I’ll have to spend my summer in Washington for some junior leadership program, which means six straight weeks of me and Paris together in a dorm room.
The program that Rory and Paris will be attending in Washington DC during their summer vacation seems to be similar to the real life Global Young Leaders Conference, where high school students from the US and around the world learn communication, decision-making, and negotiation while interacting with real life leaders, diplomats, lobbyists, and journalists. There are also visits to embassies and cultural landmarks.
Unlike the six weeks Rory has in front of her, the real life program only lasts for ten days, students are housed in a hotel, not a dormitory, and it costs thousands of dollars to attend. Rory never even mentions paying, so perhaps Chilton are footing the bill, or Rory and Paris will be offered scholarships.
The Annotated Gilmore Girls 