You will want to have a car at Vero Beach. The only thing within walking distance is Orchid Pizza (carryout). There is a Publix a few miles away, and is about the closest thing to the resort. The resort is very isolated and seems to be in a residential area.
We've stayed there twice and enjoyed both trips. The first time, we didn't leave the resort much. We did need the car for groceries and eating out. The second time, we travelled the area. The Sebastian State Park was a great day trip with picnic.