I never paid attention before, but this is a fun little circuit for a sometimes electronics hobbyist like me. Bear in mind I'm only a hobbyist, but I'm pretty sure I have this one figured out.
To test, you would connect G to ground and connect a test light or buzzer in series to 86 with power applied to the test light.. At this point, the belt light or test light should NOT light up. Next, apply power to 15 and both lights should turn on. Then, connect 50a to ground and they should both go out. [EDIT: Connecting power to only 15 and G to ground should light the seat belt indicator but not the test light, even if you connect the test light to ground (because of the diode).
Here's what's happening. The circuit is a transistor switch. When the ignition switch is turned on, the base of of the transistor is energized which closes the "switch" in the transistor to allow power to flow through the buzzer, and the belt light to ground so the light turns on.
However, the brown/white wire is connected to the hand brake switch. If the hand brake is pulled, that wire is connected to ground which bleeds off voltage from the base of the transistor. Presumably, this reduces voltage to the base below the threshold needed to keep the transistor "switch" closed, so when the hand brake is pulled, no current flows through the belt light or test light and they g off. I say presumably, because we need to know the resistor values to know how much voltage is going to the transistor base when the hand brake is pulled, but it looks like that part of the circuit acts as a voltage divider when the brake lever is pulled.
Finally, the ground circuit runs through 3 mechanical switches so that the ground is completed only when the driver's seat belt is not buckled; OR someone is sitting in the passenger seat AND the passenger belt is not buckled.
The upshot is that 3 conditions must be met for the seat belt light to come on (and the buzzer to buzz):
1. ignition switch on
2. hand brake off
3. at least on seat belt on an occupied seat unbuckled
Hope that helps