First of all, congrats!! I've been here since August, I love it here. You will too, as long as you are open minded and adaptable.
Pack up all of your asian food because there's really none of that here (good asian food, at least)... they did just open a Chinese stall on campus that's decent, but yes eating on campus gets expensive (about 8-10$ a meal). Most students originally say they will buy at smaller shops, food fair, etc... but let's be real- school is stressful and time consuming, and you just want to take the easy quick bus to IGA and back. IGA isn't really that expensive, depending what you buy and how you cook, so I don't think it's worth the time going to different local markets and all. I mostly buy IGA branded stuff, it does the job and is usually a bit cheaper. As far as budget- I usually spend around 250-300$ a month at IGA, then maybe 50-75$ eating out on/near campus with friends or a quick lunch if i'm lazy. There's been some facebook polls and most people tend to spend around 300$ a month for groceries, seems to be the average. There's definitely people I know that spend over 500$ a month on food because they basically just eat out for lunch and dinner, then they drink a lot so it's like 600-700 for that, lol quite a bit. I spend maybe 8-10$ a month on alcohol which consists of a 6 pack of a decent beer which lasts me 4-6 weeks.
I usually meal prep a little on sundays- at least cook all my chicken, pastas, rice, etc. It just makes eating during the week so much easier when you have class, labs, studying and just too lazy to start cooking pasta at 9pm, so it helps to have some things prepared and just heat it up and add sauce or whatever.
There's really no need to bring any appliances, unless you have something you absolutely need and have room in your suitcase. Most students re-sell stuff on the facebook pages so you can check there once you are here. There's usually tons of coffee makers, blenders, toasters, that sort of thing. All the dorms have microwaves, a stove, sink, that's about it.. and of course a good size fridge.
It will be an adjustment, but it's really not that bad. There's a good selection of ingredients and spices at the grocery stores here, and some of the local restaurants/stalls are actually pretty good, to get your quick fix of tastes you miss once in a while. It's definitely not like NYC, and you have to be open minded, it's a change.. trust me, i'm a big foodie and not having certain foods here is a challenge, but I have gotten used to it I guess. It just makes your breaks that much more worth it. There are two sushi restaurants not far from campus that are actually pretty decent (they have some other Japanese dishes too), so you can get your fix once in a while. There's lots of indian and greek food here, and of course the local Caribbean food... you've been here to tour so you probably know.
All in all, you should be good with 300 a month for groceries. Once you find out who your roommate is, i'd suggest coordinating who is bringing utensils, dishes, pots, pans, etc. I brought a good size skillet and a pot to boil water when I came down, and I just share it with my roommates. I then bought a plate and bowl here for pretty cheap and use that for myself. They do not give you any pots, pans, dishes, utensils, etc. so i'd suggest bringing that kind of stuff as they overcharge for that here, oh and Tupperware.
Let me know if you have any other questions. Congrats again!