You'll also have to study to pass an FAA written knowledge exam.
You'll start by finding a flight school. This can be at your local airport, at a dedicated training academy, like ATP or several others, or at an aviation college or university. You'll then receive flight training in sessions of about one hour in the air and 30-60 minutes on the ground. You'll also have to study to pass an FAA written knowledge exam. When the instructor feels you're ready, you'll solo (fly the airplane alone). You'll then fly "cross-country" flights both with your instructor and solo, of various distances. You'll fly at night and continue to train until you're ready for the check ride. When ready and after you've passed the written exam, an FAA-designated pilot examiner will conduct an oral interview and a flight test with you. If you pass both, you earn your private pilot certificate!