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Williams said she had no idea about her below-par performance on Monday. "I was practicing so well, and I'm doing so well in practice, and it just didn't work for me today. So with that being said, I'm happy to win and just go on to the next round."
Williams is going to play Julia Goerges in the second round. The 21-year-old German beat Hungarian Melinda Czink in straight sets in her first French Open match.
Murray got through a much more thrilling encounter than Williams as the men's world No. 4 lost the opening two sets to Gasquet in 6-4 and 7-5 (5).
Murray's frustration was obvious as the 23-year-old couldn't stop grimacing or shouting angrily to himself. However, the Australian Open runnerup didn't show a sign of giving up, trying hard for every strike.
Gasquet came to Roland Garros with a title claimed from Nice but only one day to recuperate. When the world No. 75 became tired, Murray found his winning sharpness.
The British fought back to claim victory in the following three sets in 6-4, 6-2 and 6-1, finally wrapped up after four hours and four minutes.
In the same day, all the women's seeds advanced into the second round but two Spanish men's seeds Tommy Robredo and Feliciano Lopez were knocked out of the first round.