
In her first appearance since the US Open, Gauff powered through a drawn-out second game to save four break points and level for 1-1 with a cross-court winner.
It was the American who broke first, landing the ball right on the line for a 4-3 lead.
Gauff won the next game and although Rakhimova held her off for one more, it was the defending Beijing champion who triumphed.
An energized Gauff broke early without losing a single point in the first game of the second set and defended against a fighting Rakhimova for a 2-0 lead.
The 21-year-old American worked hard to save three break points over the frustrated but defiant 89th-ranked Russian to pick up a third straight game.
Gauff made quick work of the rest to deny 24-year-old Rakhimova any chance of a comeback and closed out the match with a bagel.
Her biggest rival in Beijing is world number two Iga Swiatek, fresh off a title in Seoul, after top-ranked Aryna Sabalenka withdrew.
A men’s ATP 500 event is also running in Beijing.