Ok well let's see a bit much but I will go through a bunch of them real quick..Your basic settings will be dc voltage, and continuity (resistance). And yes for all this testing your black lead of the meter should be on a good ground and the red lead to the wire.
Constant - Red - Thick Wire - Set on DC voltage should show around 12 volts and closer to 14 with the car started.
Ignition 1 & 2 - Pink & Dark Green Thick Wires - Set on DC voltage should have voltage when you turn the key to the ignition position, should keep it's voltage while the car is cranking (may drop a FEW volts while cranking) and then keep voltage on it while the car is running.
Accessory - Orange Thick Wire - Set on DC voltage should have voltage when the ignition is on, then when you start the car the voltage goes away while the car cranks, then will come back once the car is running.
Starter - Yellow Thick Wire - Set on DC voltage will get about 12 volts on it WHILE the car is cranking. No voltage with just the ignition on and no voltage after the car is started and running as long as you don't hold the key in the start position thus grinding the starter..
Park Lights - Brown Wire - Set on DC voltage will show no voltage until you turn on the parking lights at which time it will show 12 volts.
Horn - Black Wire - Set on DC voltage it will sit at 12 volts all the time until you push the horn. When you push the horn, the 12 volts will go away and won't come back until you let go of the horn. Technically once you press the horn this wire will get a ground on it but that can be hard to pickup on your meter unless you hold the horn down for a while.
Brake - Blue or White Wire - Set on DC voltage this wire will have no voltage on it until you push the brake at which time it will get 12 volts and will remain at 12 volts until you let go of the brake.
Trunk Release - Black / White - Set on continuity or resistance this wire will show little resistance to ground while you push the trunk release button. That resistance should remain until you let go of the button.
Door Triggers - GREEN/ Black & Light Blue - Set on continuity or resistance this wire will show little resistance to ground while the doors are open. GREEN/ Black is the driver door and the Blue wire is the passenger door or the other 3 doors on a 4 door model.
Door Locks - White wire - This is a single wire door lock meaning you need to add a resistor to it. The wire should show a ground when you hit the lock switch, and possibly a few volts when you hit the unlock switch not real sure to be honest haven't tested one in a while.
That should pretty much cover it. That info combined with the wiring info already given should be pretty much spot on for you. Find the wire in the location specified, and then test it to see if it tests the way it should. Very easy car to work with all the wires you need are pretty obvious and easy to get too..The only ones you may not get on the first try would be the horn and the parking light wire because there are usually a lot of blacks and browns running in that harness. (Depending where you plan to find them at.) Here's my info again if you need it:
https://installz.com/wiringdiagrams/2003pontiacgrandam.gif
Good luck,
Mike