It is fairly steep up to Lindos View from the beach but if you walk across to the bus terminus there are regular courtesy buses to take you to and from the main square and main beach. This only operates during the day but you could easily walk down into the village at night and get a taxi back to Lindos View from the main square.
To be honest you have two very nice swimming pools at Lindos View and that's the reason most people choose to stay there. If you're more into the beach you'd be better off staying in the centre of Lindos. The centre of the village is fairly flat but it's a steep hill from here down to the beaches and another steep hill up to Lindos View/Krana hill. It's easy enough walking down to the beach from the centre and you can use the free bus from the main beach to get you back to the main square or a donkey if you're down on Pallas beach.
Hope this helps, anymore just ask