After looking a little closer and confirming with a neighbor with the same boat, there is no float/automatic mode. The bilge pump is either on or off with a push button breaker on the 12V panel.
Greg,
One thing that I have learned about Beneteaus is that there is no consistency between models nor model years. Mods by previous owners complicate matters further. For what it's worth,
my 343 has a separate bilge pump and shower drain pump. The bilge pump (whale) is located on the port side hull with a hose that terminates in a small bilge sump. There is a float switch in the bilge. There is a bilge pump breaker switch on the DC electric panel that enables activation of the pump manually; however, the breaker is normally in the off position; there is no "auto" position. The bilge pump is wired directly in a manner that allows the float switch to activate the pump (without the breaker on). In my opinion, that is a very important feature in the event that the boat is taking on water when you are not around to manually activate the bilge pump breaker switch.
A separate pump, mounted on the starboard side hull, under the lavatory, drains the shower sump. There is a breaker on the DC panel & toggle switch on the lavatory cabinet that activates the shower pump.
On Beneteaus that I chartered, there was a dedicated macerator pump and breaker, along with a pushbutton momentary on/off switch on the lavatory cabinet that activated the macerator pump.
With regards to the freshwater pump cycling, it is possible that there is a leak; I would think that you would find freshwater in the bilge if there was a leak. On some freshwater pumps, there is a pressure adjustment that may stop the cycling. On my pump (Shurflo), there was no adjustment. The rubber diaphragm & rubber valve assembly needed replacement.
Good luck with the boat, I assume you purchased, and welcome to SBO.