The mechanics are the same everywhere, but a few things are worth flagging locally.
Budget beyond the purchase price. New Jersey property taxes vary widely between municipalities, and two similar houses in different towns can differ by hundreds of dollars a month. Get the actual tax figure for the specific property, not the town average.
Near the water, insurance is a real line item. Flood zone designation and elevation drive the cost, and lenders will require coverage in certain zones. Get a quote during your inspection period, not after.
Understand the sequence: pre-approval, offer, attorney review, inspection, appraisal, mortgage commitment, title, walkthrough, closing. Each has a deadline, and missing one has consequences. Ask what each step is for as we go — you are allowed not to know this yet.
Finally, look at inland Ocean County as well as the shore towns. Ten minutes from the water often buys considerably more house.