Shayne Iverson survived as the bullet exited through his eye socket rather than hitting his brain last Thursday near Saltsburg, according to his family.
But the infant, who is in a stable but critical condition in intensive care, has lost his sight.
His parents Stefanie and Jeremie, who have three children, have been meeting state police and the game commissioner about the incident.
Indiana County District Attorney Pat Dougherty said the hunter who fired the shot had an agricultural deer control permit.
The shooting is thought to have been accidental, though investigators are looking into whether the hunter complied with state regulations.
Relatives have set up an online fund to pay for Shayne's medical costs.