Is this centrally located near places we can eat and a grocery store?
Yes it is.
Just walk along the beach from the hotel. There are lots of places to eat along the beach.
I can recommend the mojito bar. Great portions for a small price and great mojito's.
There are at least 10 places for eating inside 100 m.
There are plenty of places to eat and drink. The Serendipity Restaurant is right there and we thought the food was great. They will even deliver to your room if you feel like staying in. The grocery store, Janets, is probably a half mile walk. There are smaller stores closer if you just need a few things. Have a great trip!!
Get an answer from Hotel Villa Taina staff and past guests.