By plane
One can fly to the Girona/Costa Brava Airport on any number of budget airlines it is the Southern hub of Ryanair and take a bus directly up to Figueres from the airport on Barcelona Bus operated by Sagales. The schedule for this bus is not ideal outside of summer months and so it is more advisable to take the bus to the Girona train station and take the train up to Figueres. There is also a bus by the same company to and from the airport and Barcelona that is quite frequent, if one is trying to schedule in Figueres with a Barcelona trip.
By bus
The bus station in Figueres is directly across Plaça de l'Estació from the train station with regular connections to Barcelona stopping at Estació del Nord and other destinations in Catalonia as well as up to Southern France.