It's not obvious from your pics but I suspect it's the switched feed for the GPS unit. If it is and you remove the cover, it should look like this....
...which plugs into this....
...which is the connector on the power cable of BMW Navigator GPS. You can, however buy that cable with its connector, as a repair part from your Motorrad dealer and that will enable you to fit the connector onto an aftermarket GPS and power it from that supply on the bike.
That's all assuming that I've identified the connector on your bike correctly....