government vs government activity

government and government activity both are nouns.

Word	Noun	Adjective	Verb	Adverb
government	Yes	No	No	No
government activity	Yes	No	No	No

As nouns, government and government activity are synonyms defined as:

government and government activity: the act of governing; exercising authority

Other synonyms of government include administration, governance, governing.

government (noun)	government activity (noun)
the act of governing; exercising authority	the act of governing; exercising authority
(government) the system or form by which a community or other political unit is governed
the study of government of states and other political units
the organization that is the governing authority of a political unit