One who does not care for literature or art

One word substitute is Philistine.

Barbarian: (in ancient times) a member of a people not belonging to one of the great civilizations (Greek, Roman, Christian).
Philistine: a person who is hostile or indifferent to culture and the arts.
Illiterate: unable to read or write.
Primitive: relating to, denoting, or preserving the character of an early stage in the evolutionary or historical development of something.