You are going to need a gasket for a GM 8.5 10 bolt rear cover you can get that at the parts stores.
Jack up car level (needs to be close to level) and secure, remove the fill plug from rear end housing using 3/8 drive ratchet (i think) might need a short extension (fill plug is up high on the pass side of the chunk on the front), once plug is out get a drain pan under the rear end.
Remove the bolts on the rear cover so that the cover can open up at the bottom some and not fall off.
If it falls off the fluid will just fly out when the cover comes off and go everywhere. You want the bottom open only for a controlled drain.
You might have to give the cover some help to come loose (medium flathead screwdriver, be careful not to bend the covers mating surfaces).
Once drained scrape off all the old gasket if it stuck anywhere.
Get a few rags and wipe the bottom of the chunk to keep the lube from oozing out at the bottom make sure beacause face of rear housing where the gasket goes needs to be oil free for the next steps.
Get some brake clean on a clean rag(s) and clean (clean very good) both mating surfaces (cover and rear housing where the gasket is going to lay.
Once clean get some ultra copper high temp gasket maker (permatex brand) and apply to mating surfaces (cover and housing) careful not to get a super thick coat, a 1/16" coat all around is all that is needed.
Align and place gasket on cover, then use a few bolts around the top through the cover holding the gasket in place (stick one bolt in 2 oclock pos and 1 in the 10 oclock to hold the gasket) while starting the bolts...now start the others by hand.
Tighten bolts up tight but dont rupture the gasket and distort the cover with the jungle grip.
Once cover is back on and secure u can refill the rearend through the plug you removed with the 3/8 ratchet.
I bought a hand pump at the parts store (by the gear oils) as it is a heck of alot easier than trying to use a hose hooked to the end of the bottle and hand squeezing it.
My cocktail of choice is the below, this mix has works for tens of thousands of miles trouble free and keeps the chatter away.
1 bottle of Lucas Oil Stabilizer (dino)
1 bottle of Valvoline (dino NOT SYN) 75w90 Gear oil
1 Tube/bottle of Limited slip additive
Put the lucas in first then the limited slip additive and top off with the 75 w90 until fluid just starts to come out of the fill port and then replace the plug and tighten, clean up and you are done.
You can get rear end covers that have a drain plug in them or get a kit and put one in your stock cover so you do not need to remove the cover for future lube services.
I typed this super quick so not sure if it is grammar correct but will help if nothing else...good luck