Irish Gaelic vs Gaelic language

Irish Gaelic and Gaelic language both are nouns.

Word	Noun	Adjective	Verb	Adverb
Irish Gaelic	Yes	No	No	No
Gaelic language	Yes	No	No	No

As nouns, Gaelic language is a hypernym of Irish Gaelic; that is, Gaelic language is a word with a broader meaning than Irish Gaelic:

Irish Gaelic: the Celtic language of Ireland
Gaelic language: any of several related languages of the Celts in Ireland and Scotland

Other hypernyms of Irish Gaelic include Erse, Erse language, Gaelic, Goidelic, Goidelic language.

Irish Gaelic (noun)	Gaelic language (noun)
the Celtic language of Ireland	any of several related languages of the Celts in Ireland and Scotland