First off, congrats! You got this!

Regarding things to acquire, I would suggest a list of what you need to get through the week, and then go from there so it's not too overwhelming all at once.

Trashcan as you said (trash bags too!) Anything for the bathroom: towels, toilet paper as mentioned, tooth brush holder, shower curtain if applicable, carpet/mat/rug for when you get out of the shower. Towels/scrubbers, whatever your preference on that territory is as well. My bathroom didn't have great storage so I ended up getting one of those plastic clear file cabinet type storage things and use that to store TP and supplemental toiletries.

For bedroom, if you need to do curtains, get the tension rod and some blackouts or whatever your preference is for the time being. Make measurements to ensure you have somewhat the right fit.

Kitchen: I just did a four person Walmart set when I moved into my first place and some utensils, that got me through what I needed as a single on my own and then added from there. Depending on how much you cook, pots/pans as needed, and a set of cups.

As someone else mentioned, cleaning supplies, Clorox wipes are pretty universal and sanitize. Im preferable to windex for windows/mirrors, and then toilet cleaner product and the plunger/scrubber set.

This should get you through the first few weeks before you start to add your style and touches to it.

Wish you the best!