Prescription Privacy Protection Act of 1998 - Prohibits a pharmacy owner, pharmacist, or pharmacy employee from disclosing prescription data to any person or governmental agency (other than the individual who is the subject of the data or another owner or employee of the pharmacy) without written consent from the data subject, except: (1) to the physician who wrote the prescription; (2) to a parent or guardian in certain circumstances; (3) to the data subject's agent under a power of attorney; (4) to specified agents of the owner; (5) in connection with certain judicial, administrative, or law enforcement matters; or (6) where necessary to support an application for health benefits from an insurance provider or governmental agency. Mandates a civil monetary penalty for violations. Declares that this Act does not preempt State laws imposing requirements in addition to those in this Act.