I found the Galvestonian on trip advisor. The property consists of fully furnished and equipped condos from 1 BR to 3BR. We rented a 1BR on the 4th floor. All units have balconies overlooking the pool, gardens and patio are and best of all full gulf view. The sunrise and sunset views are wonderful. They were running a special buy 2 nights get 1 free.
The staff are all very helpful and polite. I was given some great recommendations for restaurants for dinner. Plus directions to some nearby attractions. It is on the east end of the island so its a bit secluded which we like and its right on the beach. You do not have to cross a road to the beach. You just go down stairs and across the wood walkway to the beach.. They have showers available to wash the sand off on your way back from the beach. They also rent umbrellas and chairs.
Each unit has a full kitchen. There is not a restaurant on the premises. We thoroughly enjoyed our stay and will definitely be back.