This small Train Station has no staff, a small waiting room, and stand-up restrooms (the women's side was much cleaner). This is where we arrived from and departed to Milan (and on Italian time). You can also go North and towards St. Moritz (yes Switzerland is close by). Tickets are best bought ahead of time and if you're short on these after arriving in Varenna, you can buy them at a Travel Agency (next to Albergo Beretta) a block away or Barilott further into town.
As for in Town transportation, we walked here. It was a bit of a hike including some shared streets and a bit of an uphill at the end. For those not so athletically inclined, there's a taxi stand at the house next to the Station. read more