...but also, her mom was an actress too: https://en.wikipedia.org/wiki/Blythe_Danner, and her first stage work was the theater that her mom performed at for years:

"""
Her acting debut was in High (1989), a TV film her father directed, and after spending several summers watching her mother perform at the Williamstown Theatre Festival in Massachusetts, Paltrow made her professional stage debut there in 1990. Her film debut followed with Shout (1991), starring John Travolta; and she was cast by Steven Spielberg in his film Hook (1991) as the young Wendy Darling.
"""

She might not have broken the truth, but she's bent it into a pretzel shape here making it seem like "she was on her own"