Getting to Brasov from Cluj Napoca can again only realistically be done by train. Tickets can be bought from the train station one hour prior to departure and the station is always manned right through the night. A return ticket can be bought for about $25 (purchased as two separate singles, one a both ends) and the journey takes approximately 4.5 hours.
On arriving, again try not to be put off by the hordes of taxi drivers offering to take you to Bran, as it is far more expensive than coaches there. The tourist information is in the station itself, as the one we located in the town centre had closed down completely. Getting into Brasov itself is best done by the local bus service from outside the station and will take you directly there.
There are lots of places of interest in the town centre, from towers to churches and museums to cable cars. One work of warning about the cable car, though. We traveled here in the summer, with all the flora in bloom. When you get to the top of the mountain, the view is obscured by the vegetation, so i think we were a little bit conned. The only views we got were from the restaurant and we got hustled out of there very quickly as we weren't going to eat. However, it is an excellent view of the city from there.