There are three pubs in Bremen, all Irish themed.
One around the corner of your hotel, The Paddys Pit is a decent downstairs Pub with big screens for CL football. Better choice is the Hegartys in Ostertorsteinweg,biased in the so called "Viertel", our amusment quarter with many pubs and bars around there. Both pubs are the main spots for the english people who lives here. 15 Min walk or a tram ride for 6-8 min.
Other good spots are The Schlachte, 12-15 bars with beergardens, next to the River Weser, 10 Min walk. If you are in town centre, give the Achims Becks Haus a try, you´ll never get a better Becks from the tap anywhere....
The Schnoor quarter has some good restaurants witch includes the best Tapas Bar in town and also a good Pub there, Irish Pub Schnoor......
Enough for 2-3 Beers????