If you make a right turn out of the resort and then head over the causeway bridge, you will come to an intersection with a large Walgreens. It is about 5 miles from the resort. Then just down the road from Walgreens is a publix on us 1. On the barrier island itself if you head left on the same road as the resort is a cvs a few miles down.
publix is in sebastian super wallmart further north on US1 by Hospital if you are looking for place to eat out make left out of DVB and proceed to vero beach Mulligans Restaurant is excellent and not expensive small boardwalk and shops to walk around