Follow the water
Lift the lever and the piston rises past an inlet in the group. Boiler pressure pushes water up the pickup tube and into the chamber. On the way down, the piston passes the inlet again and traps water beneath it.
A pressure switch cycles the heater as the boiler loses and regains pressure. A separate thermostat cuts heat if the boiler gets too hot, and a relief valve can vent excess pressure.
The drawing simplifies the passages. See La Pavoni’s manual, sections 4.5 to 4.9, and the group and boiler fittings drawing.