Theoretical Wave Action Pump, Making Fresh Water and Electricity

The theory: use wave action from the ocean to pump sea water uphill through a series of one way valves and reduced piping to a lipped dome reservoir, catching fresh water condensating inside the dome in the "lip", returning the sea water back to the ocean, thereby allowing hydro electric generation through gravity and water flow.

The question is this: will the wave action with the force of the ocean behind it be able to push sea water uphill to the reservoir?

If this can be accomplished the rest has all been done before.

If this can be done in area's of good wave action it may alleviate water and power shortages along much of the worlds coast-lines

Your comments would be appreciated

Graham L