Drywall Work

Need advice on how to approach this. Is it as simple as cutting the drywall to size, securing it to the studs, then patching and painting?​​​​​
Any advice would be appreciated!

 

Yes... a very basic repair.
Be sure to mark the nailing locations on the wall and floor as you can't see them when covered.
I would add two nailers (scrap wood) at the top of the patch to add support.
Square up the right side.

You probably can't get to the left stud but you want the sheetrock to get as close to it as possible.
If not... it will be hard to patch at the countertop.

 

Thanks PJmax

Based on your markup, I'm to split the drywall panels into two? Or is it one large panel?

Also, is it necessary to use a nail gun? Or would manual nailing work?

 

My choice of fastening is sheetrock screws.
I cannot remember the last time I used a nail in sheetrock.

It's a little more difficult to get smoother joints when two cut ages abut.
The factory ends/sides of a 4x8 sheet are tapered.
If you cut carefully... you should be able to get two factory edges to meet in the center.

Overall a single piece would look better. You should remove the receptacle during rocking.

 

PJmax thanks again! Here's my list of items. Am I missing anything or do you recommend something different?

Drywall
https://www.homedepot.com/p/USG-Sheetrock-Brand-1-2-in-x-4-ft-x-8-ft-UltraLight-Drywall-14113411708/202530243

Screws
https://www.homedepot.com/p/Grip-Rite-6-x-1-1-4-in-Philips-Bugle-Head-Coarse-Thread-Sharp-Point-Drywall-Screws-1-lb-Pack-114CDWS1/100152392

Saw/blade
https://www.homedepot.com/p/Milwaukee-Rasping-Jab-Saw-with-6-in-Drywall-Blade-48-22-0104/317478252

Wall repair kit
https://www.homedepot.com/p/DAP-DryDex-8-oz-Wall-Repair-Patch-Kit-12345/100493601

 

Do not use that Drydex kit, it's for minor dings. You need tape and joint compound. 4" knife and 10" knife and a pan. It takes a pro a minimum of 3 coats, it might take you more.

your 4x8 sheet will get cut to fit the opening. In one piece. You will likely want to add a stud on the left side behind those 2 top drawers. Ideally the vanity would not be there but you will have to work around it and will probably need to flat tape up to the vanity if you can't get drywall behind it. On an exterior wall that's going to be a cold air leak in the winter if the vanity isn't removed so you can tape that joint.

 

Thanks for the tips XSleeper

Is there a preferred brand for joint compound? Thinking this will work?
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That should be enough. Put it on using thin coats.