I've had to set up from scratch more than once. I would suggest two saucepans (pasta and sauce), crockery, knives, forks, cups for four. A pan that can go in the oven - will do a casserole or a stir fry with a lid. At least one even tray and a deep one that does things like roasties.
A sofa or chairs is great but be wary of second hand and will have an extra delivery charge.
A couple of changes of bedding and towels. I
The best mattress you can afford, ideally tried out, that's something to me that can really make or break my quality of life (I'm a sleep hog).
If you shop somewhere like Sainsburys for food look at Argos, especially for the student kitchen stuff. You can combine nectar points so you get something back.
If you don't need to paint or do flooring (or stuff you can't live with that's good).
But I'd make a list of what is absolutely necessary, what is a like/want and what is a can wait.
Most other things can be replaced as and when and congrats on your new home, I hope you're very happy there 😊