To become a notary public in the State of New York, an individual must sit for and pass the
New York notary public examination
which is regularly scheduled throughout the State. Applications are not provided online but individuals who pass the exam will be mailed an application with their exam results. The application includes an oath of office, which must be sworn and notarized. In addition to the application form and $60 filing fee, the applicant must submit a “pass slip” showing they have passed the notary public exam.
http://www.statenotary.info/newyork/