There are private for-profit and public schools. Tuition ranges from very affordable to more than some associate's degree programs (I know of at least one that starts at $30,000 for a 11 month practical nursing diploma, and that doesn't include books, fees, uniforms, and clinical requirements). The schools should be forthcoming with admission requirements and tuition and fees. There are schools throughout the state and it's probably easiest to search for a program close to where you live rather than have to worry about room & board plus transportation costs if you choose to attend a school out of the area.
Good luck. Thread moved to NJ State Nursing Programs Forum