No, they're not the same. A Pap test doesn't look for the HPV virus. Rather it takes a cell sample from the cervix to look for abnormalities. An HPV test looks for high risk HPV (the molecular presence of HPV).
You can test positive for HPV and have a normal Pap test. Cervical changes are often caused by HPV, but having HPV doesn’t always lead to abnormal Pap tests.