The train station is small but busy. It is situated right in the middle of Geilo with easy access to all facilities.
Most hotels have their own transportation and there is a good taxi service to get around.
There is also a small bus-service that offers transportation between the ski-lifts and stopps (I think) at the station.
NB: In the high season there might be a que for the taxis!
The shortest rout west is highway 7 over the mountain plateau Hardangervidda. It used to be the main rout between East and West, but now there is a highway further north that can boast of one of the worlds longest road tunnels. I still prefer the Hardangervidda rout because of the fantastic nature that I never get tired of.
Keep in mind that the weather can be rough up there at times and can change in seconds. In the winter it is close at night and if the weather is rough they use “convoy driving” with a snow plough in the lead. If it gets real bad they simply close the road.
Driving East is no problem.
Once you pass over the Hardangervidda you come down the Mobe valley. Used to be a scary drive with a narrow winding road and hardly a place to meet another vehicle. Now most of the road is in tunnels and no problem at all. You can still walk down the old road, as it is kept in order for tourists to see. There is also a small tourist train on wheels that travels up and down the old road in the summer time. Worth a try!
Once you come down to the Hardanger Fjord, you will have to use a ferry to cross over. The first ferry you come to (Brimmnes - Bruravik), is the fastest way to get to Bergen. On the other side you drive on to Voss and Bergen. If you want a more scenic drive, continue to the other ferry crossing at Kinsarvik. On the other side you drive along the Hardanger and on to Bergen. I recommend this if you have the time.
Speedlimits (with a few exeptions) are 80/50 km/hour. There are very few freeways, so expect your average driving-time to be slower than in central Europe. The fines for speeding are high! (almost 300 Euro / US$)