Pink's Daughter Willow Sage's First Photo

By Marisa Laudadio

UPDATED 06/22/2011 at 12:30 PM EDT • Originally published 06/22/2011 at 08:30 AM EDT

Like mother, like daughter.

When Pink and Carey Hart's week-old daughter Willow Sage posed for her first family photo shoot on June 9, she didn't miss a beat.

"Willow is a pro!" Pink, 31, tells PEOPLE. "Or else she is borderline narcoleptic like her daddy – she slept the whole time."

All kidding aside, the Grammy-winner and her motocross-champ husband of five years, 35, are relishing their new roles as parents following Willow's birth on June 2.

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"You hear people say it all the time, how life changes so drastically. But you can't possibly grasp how beautiful that is until you have your child," says Pink.

For more on Pink and Hart's experiences as new parents, Willow's birth story and the meaning behind her name – plus more family photos – pick up the new issue of PEOPLE, on newsstands Friday