We are in Sea Girt so a couple of towns south of Ocean Grove. It is very quiet down here but way to many people on the boardwalk such that they had to close it down. Still allowed on the beach which we have done twice so kids can run around/play in sand. We stay completely to ourselves on beach and go to a beach that is not off boardwalk with basically no one on it. Playgrounds, tennis courts, etc. are all closed which is good (wish NYC would do that). Also, having a yard here is huge for sanity of us and kids. One aspects is we don't know anyone down here really except for immediate neighbors (one of whom is in Florida and the other is a single lady who usually lives in Manhattan) so no pressures of seeing kids friends around and then wanting to play with friends. We stay basically to ourselves and other than going for a run and trips to beach mentioned above we are entirely holed up.
As for shopping we have not been to grocery store. Actual only shopping I did was buying a propane tank for the grille from a gas station on the first day we arrived. I did drive by the local grocery store we would hit up and it seemed pretty quiet but that was like 19th or so. Note sure what it is like now.
We avoided grocery stores by hauling a big chunk of our food down here and made the closest Peapod reservation we could which was about two weeks out (made reservation before we even left for the shore). It showed up yesterday with about 3/4s of our order which was admittedly huge given long wait between orders. TP, cleaning supplies, can goods and meat/chicken was bulk of missing items. Though we got all the fruits and veggies we ordered (except strangely onions) and basically all pasta, chicken nuggets for kids and way to snacks/junk food. Also, only got like half the bread we wanted. We have a bunch of extra frozen chicken we brought down so end result is pretty good for us but wife and I are talking of doing a small quick local shopping trip next week. I want to do the trip as I know I will be in and out in like a half hour but my wife is fighting me since I have asthma but I couldn't live with it if she went and got sick.
Lastly, Asbury Park Press website has good local news on stuff around here related to Coronavirus if looking for it. Definitely, cases but not like crush of NYC. Link to website -
https://www.app.com
Hope this helps and let me know if you need more info.