Hopefully someone can explain how this relay works?

You will need to crop the screen shots so only the wiring diagram is visable.

No detail as is now.
Fixed...at least they are cropped I should say

fuel ?? spark ??
It is a Duramax. But there is no power to the fuel injection control module.

2 pins connect to magnetize a set of contacts to open or close. The other two are the contacts.
Typically this allows low amounts of energy to control a larger load
This particular relay both of the + wires are constant hot...I have never seen a relay that the trigger wire was not switched.