Defending women's champion Sofia Kenin is also through.
Women's top seed Ashleigh Barty booked her place in the second round of the Australian Open with a 6-love 6-love win over Danka Kovinic.
Defending champion Sofia Kenin started the defence of her title with a straight sets win over Maddison Inglis.
16-year-old American Coco Gauff is also into the next round but two-time winner Victoria Azarenka was beaten in two sets by Jessica Pegula.
Rafa Nadal, who's going for a record 21st Grand Slam, needed less than 2 hours to see off Laslo Djere in three sets.