US Open champion Gauff fell a break of serve behind and trailed 4-2 in the opening set.
But the 20-year-old produced an emphatic response, winning the next 10 games without reply to seal victory in just over an hour.
Third seed Gauff will face France’s Caroline Garcia, who beat Japan’s Naomi Osaka, in the next round.
Garcia emerged a 7-6 (7-4) 7-5 winner against four-time major winner Osaka in their third-round match.
Elsewhere in the women’s draw, American fifth seed Jessica Pegula beat Canada’s Leylah Fernandez 7-5 6-4 to set up a meeting with 22-year-old compatriot Emma Navarro.
Navarro recorded a three-set victory over Italian 12th seed Jasmine Paolini, prevailing 6-2 3-6 6-0.
Russian 10th seed Daria Kasatkina is out after losing 7-5 6-4 against Romanian Sorana Cirstea.
