Grey's Anatomy Star Camilla Luddington Marries Matthew Alan in Romantic California Ceremony

The couple tied the knot in an intimate California coastline ceremony on Saturday

It’s official!

On Saturday, Camilla Luddington – who plays Dr. Jo Wilson on the long-running ABC drama Grey’s Anatomy – and longtime boyfriend Matthew Alan – who most recently starred in Hulu’s Castle Rock – tied the knot in an intimate California coastline ceremony in front of 70 of their closest friends and family (including former Grey’s costar Jessica Capshaw!), PEOPLE exclusively confirms.

“The thing that I always said to Matt is that I just wanted to see the ocean,” the actress, 35, star exclusively told PEOPLE prior to the wedding. “That was my one thing.”

“We’re just ready to do the damn thing,” she added. “We kind of already feel married because we have a 2-year-old. But there’s something romantic to us about solidifying that family unit by having the ceremony and actually having Hayden present. To be honest, I’m just excited to get into that new normal of married life.”

Camilla Luddington wedding photo
Sarah Noel Photography

Their wedding planner, Karen Waldron of Ampersand Entertainment, tells PEOPLE, “The couple wanted romantic elegance with lots of natural elements, set against crisp white walls mixed with wood tables, hanging rattan light fixtures, an abundance of white and green floral, that kept it beautifully classic and fresh,” adding, “Touches of gold accents were mixed into the tables for just that splash of glam.”

Matthew Alan and Camilla Luddington
Matthew Alan and Camilla Luddington. Neilson Barnard/Getty

The bride, who wore a stunning couture gown by Mira Zwillinger with handmade embroidery, walked down the aisle to The Temper Trap’s “Sweet Disposition” – a song that holds a special meaning to the couple.

“In 2008 we went to a Temper Trap concert together,” she said. “It was our first date!”

The English actress, who has done voice work as Lara Croft in the Tomb Raider video games, revealed to her followers in 2017 that she and her beau welcomed their daughter, Hayden, into the world.

“We have a new great love in our lives… our sweet baby girl…Hayden,” the new mom captioned a black-and-white clip of the pair with the newborn.

And in January 2018, the couple announced that they were engaged.

“Sooo this happened on New Year’s Eve,” Luddington, 34, captioned three photos that showcased her diamond engagement ring.

“I’m not sure I even let Matt get through his proposal before I started yelling YES YES YES!! Of course it was a yes!” she wrote and quipped that their daughter, gave her stamp of approval: “Also… Hayden approves.. 😉 💍✨✨✨.“

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