By train
The Mount Washington Cog Railway
Off Route 302, Bretton Woods, Phone: +1 800-922-8825, (http://www.cog-railway.com/) is the world's first 1869 mountain climbing cog railway and is still under operation today. The round trip takes three hours with a twenty minute stop at the summit. The train runs from late April to late November check the website for details, and has special "ski train" runs during the winter.
By Shuttle
If you don't want to hike back down the mountain, there is a shuttle service available. However room is not always guaranteed, so do not assume there will be room on the shuttle and be prepared to hike down if needed! However, most tourists who drive up on their own will be willing to take down a visibly exhausted hiker.