Dokic took more than three-quarters of the points in a 6-0, 6-0 win over Isabella Holland. She dropped just six points -- one on a double fault -- in six service games and won 72 percent of the points when receiving.
The other early match in the $637,000 tournament saw Lucie Safarova defeated Ana Ivanovic 7-6 (7-5), 6-2. Safarova had nine aces and took 71 percent of the points on serve despite six double faults.
The Apia International is a final tuneup before the Australian Open begins Jan. 16. World No. 1 Caroline Wozniacki leads a stellar field that included every Top 10 player except fourth-ranked Maria Sharapova.
Fifth-ranked Li Na is the defending champion.