The 32-year-old Swiss retired in 2007 but last month accepted a wild card invitation to partner Slovakia's Daniela Hantuchova in this event.
The pair wrapped up the first set against Julia Goerges and Darija Jurak 6-1 inside 25 minutes.
And a 6-1 success in the second set meant victory was achieved inside 52 minutes at the Omni La Costa resort.
In the singles, defending champion Dominika Cibulkova crashed out to Ana Ivanovic.
The seventh-seeded Serbian advanced to the second round with a 4-6 6-3 6-2 success, finishing strongly by winning nine of the final 11 games.
Top seed Victoria Azarenka enjoyed a successful return in her first match since withdrawing from her second round match at Wimbledon through injury - the Belarusian beat Italy's Francesca Schiavone 6-2 6-3.
World number seven Petra Kvitova earned a measure of revenge for her surprise second-round loss Laura Robson in the Australian Open with a 6-1 6-2 defeat of the British teenager, while Italy's Roberta Vinci downed America's Bethanie Mattek-Sands 6-4 6-2.
Sam Stosur won her match against Sesil Karatantcheva in straight sets, 6-4 6-1 in an hour and 12 minutes.