The former Alias star married Lauren Skaar, whom he met two years ago at a Whole Foods in L.A., at The Resort at Pelican Hill in Newport Beach, Calif., on Saturday.
"My family was thrilled," Vartan tells PEOPLE. "They love Lauren and could not be happier. Now all my mother talks about is grandchildren."
Adds Skaar: "Our families both took an immediate liking to our partners and knew probably before we did that this was serious and going somewhere."
Vartan, who currently stars in Hawthorne, popped the question in New York in March of last year. But according to Skaar, the two didn't start dating immediately.
"We met at a grocery store in L.A.," she says. "Michael approached me after some well calculated "stalking," as I like to call it. We didn't date right away. I wouldn't give him my number but did take his e-mail address, and we didn't see each other until a few months after our first meeting. That was almost two years ago."
At Saturday's ceremony, the groom's Alias costar Victor Garber was a groomsman, and Vartan, 42, wore a two button Giorgio Armani tuxedo with a classic white pique tuxedo shirt and black bow tie.
Best FriendsSkaar wore a Vera Wang dress that was customized by her bridal shop, L'atelier Couture, in Saint Paul, Minn., converting what was once a one shoulder gown into a strapless dress with a sweetheart neckline. She also added an Oscar de la Renta belt detailed with mother of pearl and Swarovski crystals.
"It was much more couture than I ever thought I'd wear," she says of the dress, "but I just fell in love with it."
While Skaar did much of the wedding planning, she says Vartan "had a lot of input."
The wedding's theme was "evening spring," Skaar says, and the couple, who wrote their own vows, picked an eclectic assortment of music and had their first dance to a song by Icelandic band Sigur Ros.
As for honeymoon plans, Vartan has to report back to the set of Hawthorne on Tuesday. "Just bad luck with the timing," he says, "but at least we have three months to plan something very romantic."
Looking ahead, he says, "Our plans for the future are to live a happy, simple life, have kids, lots of dogs and go with the flow. I married my best friend; [it] shouldn't be too hard!"