The NJ Department of Health (NJDOH) website to Pre-Register for the COVID-19 Vaccine is now live. Pre-register for eligibility, and input your personal, contact, health insurance, and demographic information. This also allows individuals to schedule an appointment for those who are immediately eligible based on screening questions.
Morris County News Release: How New Jersey Is Distributing the COVID-19 Vaccines

Vaccinations are not yet available for the general public.
At this time, only vaccinations for Group 1A (Healthcare Workers) are being given. COVID-19 Vaccination Eligibility Expansion to Phase 1B First Responders (January 8, 2021)

The updated information on who is currently eligible for the vaccine and when different groups in New Jersey will become eligible may be found at the New Jersey COVID-19 Vaccination Page, link below and Morris County News Release.
NJDOH COVID-19 Vaccination Page
Morris Township | www.morristwp.com