It was Gauff's second straights sets win at the tournament after a first round test against 2020 champion Sofia Kenin.
Third seed Andrey Rublev suffered a first round exit after his Qatar Open title, losing to qualifier Quentin Halys 3-6, 6-4, 7-6(5) at the Dubai Open on Tuesday.
Coco Gauff was given a solid workout by former champion Sofia Kenin but continued her lengthy winning streak
David Beckham took time out from overseeing his Inter Miami side's dreadful run of form to take in the action on Centre Court at Wimbledon on Wednesday.
Seven-time Grand Slam champion Venus Williams and former world number three Elina Svitolina were handed wildcard entries into Wimbledon.
Third-seeded Jessica Pegula and fifth-seeded Coco Gauff each recorded straight-set wins to advance to the second round of the Rothesay International on Tuesday in Eastbourne, England.
IMAGES from matches on Day 4 of the US Open at Flushing Meadows in New York on Thursday.
Daniil Medvedev quelled the challenge of wildcard Arthur Fery and Marta Kostyuk fought back to upset Maria Sakkari and storm into the Wimbledon second round on a rainy Wednesday.
Serena beat Sara Sorribes Tormo and Marie Bouzkova 2-6, 6-3, (13-11) in the women's doubles.
IMAGES from Day 1 of the Wimbledon Championships played on Monday.
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