If you want a proper pub with proper beer I can make three suggestions:
The Bridge;
The Bodega;
Crown Posada.
'The Bridge' is on the Newcastle side of the High Level Bridge (over the Tyne) and is about a 5 minute walk from the Central Station (Rail). 'The Bodega' is a similar distance the opp direction at the bottom of Westgate Road. The Crown Posada is on the corner - just down Dean St before you get to the famous Quayside area (you can Google them all).
If you're arriving at EGNT and don't want to muck about with Taxis, jump on the Metro (£2.30) and you're in the centre of Newcastle in about 15 mins (the Metro stops at the Central Station too).
Enjoy The Toon!!