updated 04/12/2013 AT 10:00 AM ET
•originally published 04/12/2013 AT 11:00 AM ET
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.”