The couple and Levi Alves McConaughey, born July 7, are resting in Malibu after leaving the hospital Thursday afternoon, PEOPLE has confirmed.
McConaughey’s mom Kay arrived Thursday to join them, and a close friend said her family would also be staying with the couple to help with the baby.
Grandma Kay told PEOPLE that McConaughey is "Oh my gosh, he’s like over the moon,” and added that he was Camila's biggest cheerleader in the delivery room.
Weighing in at a healthy 7lbs. 4 oz, Levi was born at Santa Monica UCLA Medical Center in Los Angeles.