This thread (post #7) can help you with the info related to hardwiring your GPS to GPS factory wiring harness from your GS as you pictured it (the thread is about Zumo but same applies for other GPSs):
The OE plug is designed and controlled by CanBus and provides switched power, ie. it's "on" when the key is "on" in the ignition and it goes "off" 1-2 min after the key is out, to any GPS. My GPS is wired this way and never had any issues with it.
No need to be afraid of CanBus as long as you don't cut and splice into OE wiring harness, as that's
!! One more reason as to why GPS plug is provided by the factory for people to use it
!! More on the topic of pro/con of CanBus you can find over at GSpot forum, dedicated to GS bikes.
As for your second picture and wondering what that block is, even though the location of it has changed on your bike relative to my 07 Adv, that appears to be fuse block for your fog lights. If you open it, you should be able to find 2x 7.5A fuses in it...
Hope above helps and enjoy your wrenchin'