Kim - who qualified equal 12th for the 64-person match play phase - defeated American Alexa Pano 4&3 in what was a very comfortable win at SentryWorld Golf Course in Stevens Point.
The 18-year-old won four of the first six holes and - despite Pano winning the seventh hole - Kim was 5 up when they made the turn.
Pano won the 11th to close the deficit to four holes before four consecutive halved holes gave Kim victory on the 15th.
Kim will meet Chinese Taipei's Chun-Wei Wu in the round of 32, teeing off at 8:21am local time.
Western Australian Maddison Hinson-Tolchard was narrowly beaten in the round of 64 despite qualifying second in stroke play.
The 17-year-old lost on the 19th hole to American and 63rd seed, Caroline Hodge.
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