it's easy to grow some veg - definitely get an allotment and a good book on growing fruit and veg.
some fruits are perennial - i recommend you get some raspberries, strawberries, gooseberries if you like then, blueberries, rhubarb. they all come up every year.
vegetables aren't, but the easiest to grow are courgettes, runner beans (other beans too), peas (although you need a lot of space to grow enough!), potatoes, onions, cabbages, kale, broccoli, salad veg.
if you start sowing now, you'll have loads of veg to go at in late summer.
most of them will freeze.
If you can't get an allotment this year, then you can still grow some things without a garden. use window boxes of even a sunny windowsill.
If you've got a yard, then you can grow in big containers.
and never buy fresh veg from the supermarkets - they're stupidly expensive and kill farmers.
if you want to start this year, then go down to your local allotment and offer labour in exchange for produce.
it'll give you an idea of what needs to be done, and you'll make friends and it'll help your recommendation for a plot.