Lea Michele Keeps Busy with Boyfriend Cory Monteith in Rehab

04/12/2013 at 11:00 AM EDT

Lea Michele Keeps Busy with Boyfriend Cory Monteith in Rehab
Lea Michele arrives at Sugarfish Restaurant with her parents

Lea Michele

Lea Michele

She might not be feeling totally Glee-ful, but Lea Michele keeps smiling as she goes about her everyday life with boyfriend Cory Monteith in rehab.

The actress, who is credited as being a rock for her Glee costar as he battles addiction, is getting some support of her own – from her parents, who have been visiting her in Los Angeles this week.

Michele, 26, was seen grinning as the family arrived at the Sugarfish sushi restaurant on Thursday – her first photo out since Monteith's news broke.

"Ended the day with a perfect dinner with mom and dad:) Now catching up on tonight's episode of #Glee!" she wrote on Twitter afterward.

Michele also posted a photo of herself stretching as she went for a hike in the Hollywood Hills. "Living the fit life!" she wrote.

Monteith, 30, entered rehab two weeks ago for substance addiction. Michele told PEOPLE exclusively at the time: "I love and support Cory and will stand by him through this. I am grateful and proud he made this decision."

Lea Michele Keeps Busy with Boyfriend Cory Monteith in Rehab| Health, Glee, Cory Monteith, Lea Michele

Courtesy Lea Michele

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