Swiatek is the heavy favourite for the title in Paris, having won back-to-back clay-court titles in Madrid and Rome.
After a dominant first set, Swiatek found herself down a break in the second, but upped her level when needed to wrap up victory.
Asked if she feels like the ‘Queen of Clay’ – a play on the nickname given to 14-time men’s champion Rafael Nadal – Swiatek said: “I think it’s too early.
“I’m really proud of my achievements and this has always been my favourite surface.”
Rain held up much of Monday’s play, although Wimbledon champion Marketa Vondrousova was able to complete an emphatic 6-1 6-3 victory over Spain’s Rebeka Masarova in the morning.
Ons Jabeur, still seeking her first Grand Slam title after three runner-up finishes, was equally ruthless in dispatching American wildcard Sachia Vickery 6-3 6-2.
US Open champion Coco Gauff and Britain’s Harriet Dart are among those still to play on Monday.