Just look at the diagram...
If both switches are ON, both inputs to the bridge rectifier are connected to the positive power; so the same.
If both are OFF, both inputs are pulled to 0V via the resistors; again the same!
If one is on and the other is off, the LED will drop whatever voltage it's rated at, at whatever current the power supply voltage (less two diode drops) and ground resistor set.
It will depend on the LED type and colour, as any LED and resistor combination.