Council won't charge admission to City Beach (Posted 7/29/2010 09:31 am) The Granbury City Council has decided not to charge admission to the City Beach - a move that had been suggested by the city's finance department to help cushion a projected budget shortfall. Mayor Rickie Pratt said the city will, however, charge reservation fees for the covered pavilion and picnic tables, which have been the source of turf skirmishes.