The Collaborative International Dictionary of English v.0.48:

Galician \Ga*li"cian\, a. [Cf. Sp. Galiciano, Gallego, fr. L.
   Gallaecus, Gallaicus, fr. Gallaeci a people in Western
   Spain.]
   Of or pertaining to Galicia, in Spain, or to Galicia, the
   kingdom of Austrian Poland. -- n. A native of Galicia in
   Spain; -- called also Gallegan.
   [1913 Webster]

WordNet (r) 3.0 (2006):

Galician
    n 1: a language spoken in Galicia in northwestern Spain; it is
         between Portuguese and Spanish but closer to Portuguese;
         sometimes considered a Portuguese or Spanish dialect