No Surprise Bills for New Moms Act This bill requires health insurers to provide coverage for newborns of enrollees for the first 30-day period after the newborn's date of birth and to provide a special enrollment period for the newborn that extends at least 60 days after the initial coverage period. It also requires insurers to notify an enrollee if they receive a claim for the enrollee's newborn who is not enrolled in a health insurance plan.