She lives in this apartment throughout the series, and buys it in the fourth season.
In the initial episodes of the first season, Carrie's apartment is seen to be above a coffee shop somewhere near the vicinity of Madison Avenue.
At the end of season four, Carrie begins to write freelance articles for "Vogue".
Although she initially has trouble dealing with Enid, her abrasive editor at Vogue, she does find her feet, and ends up befriending her.
It provides Carrie with a certain amount of recognition in the city.