Meet Alicia Silverstone’s Baby Boy!

 Regine Mahaux/Getty

Cute lil' cub!

First-time mom Alicia Silverstone shares the first-ever photos of son Bear Blu Jarecki exclusively in the new Us Weekly, out Wednesday.

The 34-year-old Vamps actress and rocker husband Christopher Jarecki welcomed their boy in L.A. on May 5. Bear Blu (whose quirky name was suggested by Silverstone's mother-in-law) weighed in at 7 pounds, 15 ounces, and "had crazy amounts of hair when he came out," Silverstone tells Us. "He's really calm."

And the Clueless star and Kind Diet author admits she went into full-on nesting mode after Bear Blu made his grand entrance. "I didn't leave the house at all for six weeks after his birth," Silverstone tells Us. "I wanted to soak in every moment of his scrumptiousness."

And hubby of six years Jarecki loves being a dad, too. "We all take baths together sometimes," she notes.

For more exclusive photos of Silverstone's adorable baby boy and details about his first nine weeks, pick up the new Us Weekly, out now!

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