DEAN: She’s not going with you.
JESS: Really, is that true?
DEAN: Yes, it’s true.
JESS: Excuse me Edgar Bergen, I think I’d like Charlie McCarthy to answer now.
Edgar Bergen, born Edgar Berggren (1903-1978), actor, comedian, vaudeville star, and radio performer. He was best known as a highly skilled and successful ventriloquist, working with a dummy called Charlie McCarthy. Their routines were very witty, and rather cheeky, with Charlie getting away with saying things that a person never could. Incidentally, Edgar was the father of actress Candice Bergen.
Jess is obviously saying that Dean is speaking for Rory, as if she is his puppet.
The Annotated Gilmore Girls 