Trenitalia operates a train from Giardini Naxos to Mount Etna hourly. Tickets cost $4 - $10 and the journey takes 45 min. 3 other operators also service this route.
How to get from Giardini Naxos to Mount Etna
From Taormina train to Catania, bus to Etna - Rifugio Sapienza, cable car to Etna - Piccolo Rifugio, then bus to Etna. 5 h 25 min 73€. From Giardini Naxos taxi to Mount Etna. 1 h 38 min 74€. From Giardini Naxos drive to Mount Etna. 1 h 38 min 7€.