Parchment paper was definitely widely used in kitchens before the 00s.
https://www.sciencedirect.com/science/article/pii/S277241662...
Later her TV show The French Chef apparently also popularized it further - it ran from 1963 to 1973.
But, searching the subject it seems that she helped popularize a technique in 1997 on her later TV show, Baking With Julia, in which you use an upside down pan as a guide to cut a perfect circle of parchment that fits the pan. Perhaps that helps explain more widespread awareness in the 2000s?