Hilton in the 'Heed on the other side of the river, just next to the Tyne Bridge and the Sage and all that jazz.
Nice pubs – Crown Posada on The Side, almost under the Tyne Bridge. Also its worth the nice stroll down river past all the flats to the Ouseburn valley – The Tyne pub is great, with a beer garden under a bridge arch, live bands and stuff. Just above it on the bankside is the Free Trade with the best views of the river of any pub in Newcastle. The Cluny is just a minutes walk away too.
As for places to eat: Greggs, you are in the Toon after all.
Stuff to do except boozing: The Sage and the Baltic Gallery are worth a look, and you can combine this with a nice walk down the river to the Ouseburn as mentioned above. Loads of gallerys in the centre of town and the Hancock Museum is worth a look but it's years since I've been Oh, and if you're into bikes of the motorized variety take a trip up Westgate Road. Brum brum!