I'm a vegan uni student as well!
My grocery bill... Hmm... hard to say because I work at a grocery store and I shop a little bit frequently. Fresh produce!
However, I probably spend about 25$ a week. Definitely not very expensive groceries. The most expensive part is replacing your carnivore diet staples with vegan diet staples.
I try to have on hand often some:
wild & brown rice mix
can of beans
good multigrain-y bread with flax seeds
organic peanut butter
fresh fruit and veggies [for veggies I really personally like broccoli because you can put it in everything.]
DGLV [dark green leafy vegetables]
Soy/almond/or rice milk
Large flake oats
granola/trail mix/raw nuts etc
That's just me personally.
I obviously eat other things, but those are just some of my favourites. I make a lot of pizzas, things with mushrooms, vegetable pot pie, stir fries, etc. Stuff that yields lots of left overs. Chilli is another favourite.
It's not that hard to have a good budget! The hardest part is eating out, but that's not an issue if you are broke like me.
Also, if you aren't able to make frequent trips to the grocery store, buying some frozen veggies is always a good idea. I sometimes buy frozen broccoli or stir fry mix. Making soups is a good idea as well, as these can freeze really nicely in portion sized bits.
Feel free to ask any other questions!