Getting to the ground
If you travel by train then it's a 20-25 minute walk from the station to the away turnstiles. It takes even longer from the city centre pubs. A taxi is therefore obviously an option here. Alternatively you can catch a bus - you want any number from 1 to 11, all of which stop on Maid Marion Way and also outside the station.
If you drive down then there are car parks at County Hall and Cattle Market. There may be street parking available in West Bridgford, although Forest's web site says it's resident and permit parking only on Match Days. The Stratford Haven (see below) has a decent sized car park and it's possible you can leave your car there if you're early enough.
Most of the pubs around the ground are strictly home fans only. The best option for away fans is probably the Stratford Haven. This has loads of hand-pulled beers, gets universally good reviews, and has a mixture of home and away fans. Another possibility is Nottingham Rowing Club, which is on the embankment only 100 yards south the ground. They allegedly normally allow away fans in, although it'll cost you a quid. There's also the Meadow Lane Sports Bar. As far as the city centre is concerned, you're spoilt for choice! My personal recommendation is the Vat and Fiddle (extensive range of beers, good reviews, discount for CAMRA members), just over 100 yards down Sheriff's Way from the station. Another good option is the Navigation, which also has vast selection of beers. Other possibilities are Ye Olde Trip To Jerusalem (claimed to be the oldest pub in Britain, is partly carved out of the rock that Nottingham Castle is built on), Ye Olde Salutation Inn (another very ancient pub, with caves beneath it), and Canal House (good range of beers, both hand-pulled and imported, and with a canal running through it). There are of course a number of Wetherspoon outlets. It may be wise to avoid the Company House which is the nearest of them to the station.
Football Ground Guide