government vs lawmaking

government and lawmaking both are nouns.

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

As nouns, lawmaking is a hyponym of government; that is, lawmaking is a word with a more specific, narrower meaning than government:

Other hyponyms of government include misgovernment, misrule, legislating, legislation, trust busting.

government (noun)	lawmaking (noun)
the act of governing; exercising authority	the act of making or enacting laws
(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