If you want the best drink (beer) in Sheffield then google the Sheffield Station and head for the Sheffield Tap which is a real ale bar in the station itself. The selection there is second to none and the quality is good too. They do have the fizzy stuff and ciders and also the best selection of bottled beers I know.
If you are arriving that early though I wouldn't head for the ground there is nothing great in the immediate area.
If you can find your way to the centre by the City Hall/John Lewis store then lots of bars there or find the square between the town hall and the Crucible for soem nice pavement cafe/bars.
A point to note Sheffield is a city so be prepared to pay a lot more.
There is a good fish and chip shop (Moor Fisheries) on Cumberland Street behind Staples 5 mins from the ground.