LeAnn Rimes & Eddie Cibrian Celebrate PDA-Filled First Anniversary

04/20/2012 at 07:10 PM EDT

LeAnn Rimes & Eddie Cibrian Celebrate Anniversary
LeAnn Rimes and Eddie Cibrian

LeAnn Rimes

LeAnn Rimes

It's been almost one year since the April 22 wedding of LeAnn Rimes and Eddie Cibrian, and they still seem to be in their honeymoon phase.

The country singer, 29, and her actor hubby, 38, got an early start Friday on their first anniversary with a romantic lunch at Toscanova in Calabasas, Calif.

Munching on beef carpaccio and chicken paillard, they only took a break from eating to pack on the PDA.

"All throughout their meal, they'd steal kisses or hold hands," an onlooker tells PEOPLE. "They looked incredibly happy together. He had his arm around her shoulder and she would rest her head on the nook of his neck with her eyes closed."

Looking back on her "I dos," Rimes Tweeted to one of her followers, "A year ago this weekend was [so] perfect."

But the celebration didn't begin on the couple's actual anniversary.

"I gave Eddie his anniversary gift early," Rimes Tweeted. "I can never wait! He was so cute. He loved it so much, he wore it to bed. For you dirty minds, it was a watch. :)-?I just thought that was super cute. All boys, no matter what age love their toys a lot."

Aside from the "stay cation" that Rimes hinted at, the rest of the pair's plans will remain a mystery at least for the rest of the day.

"Phone is going off so all my friends email me," Rimes wrote. "Happy weekend."

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