No there's absolutely no need to see one unless there is a health issue with the baby at the time of discharge from hospital.

My son was in special care for 5 days with an infection, jaundice that required phototherapy for 48 hours, had isolette care, had respiratory distress syndrome at birth, attachment and feeding difficulties & saw a number of paeds while in hossy yet as he was well on discharge we were told to see a GP as a paed was not necesary.

Gotta love the public hospital system. We didn't get charged a cent.