The Combine Overwiki reckons that Chell leaves Aperture at the end just in time to bump into Gordon etc. Despite the computer saying that Chell had been in cryo for at least "Nine-nine-nine-nine-nine-nine-ni-" days, the wiki thinks that "the presence unrotted paper, wood & upholstered furniture throughout the game's environments would seem to support a timespan of decades (ex: 9999 days, or 27 years) rather than centuries." Which brings her out in about 202-.
So I'd say the story's just starting.
So I'd say the story's just starting.