In the 1950's radios generally fitted into a small sideboard, so originally, almost certainly a free sailer. A "serious" model would generally have some sort of steering correction, but there is no sign of a vane sitting on the stern, and no sign of the deck fittings that are associated with Braine gear. It might have a weighted rudder, but that is from a much earlier time.
i don't see any running rigging that might allow sail control by a radio if one got fitted later, but that doesn't mean that it is not a "steering only" model where the sails get set and you hope that as set they will give enough control.
The hull length might gve a clue as to any class it might belong to. On the other hand, it might have been built from a plan in something like the "Boys Own Paper" or similar to be a good looking boat intended to give pleasure sailing on a pond.