
The Australian Open champion won six games in a row to take the opening set and ended Benesova's misery with a backhand winner as the clock ticked past the hour.
The American top seed will next meet qualifier Karolina Sprem of Croatia for a quarter-final spot.
"I played as I expected. Since the Australian Open, I slept a lot, I have been sick," Williams told reporters.
"It was a little virus, but not the flu. I resumed training on Tuesday, when I came here. But I'm getting better."
Swiss sixth seed Patty Schnyder beat Ukraine's Alona Bondarenko to set up a second round meeting with France's Nathalie Dechy.
France's Amelie Mauresmo was next up on the Central Court against Italian Sara Errani, who beat the former world number one in a Fed Cup match that Italy won 5-0 last weekend.
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