freeware vs computer software

freeware and computer software both are nouns.

Word	Noun	Adjective	Verb	Adverb
freeware	Yes	No	No	No
computer software	Yes	No	No	No

As nouns, computer software is a hypernym of freeware; that is, computer software is a word with a broader meaning than freeware:

freeware: software that is provided without charge
computer software: (computer science) written programs or procedures or rules and associated documentation pertaining to the operation of a computer system and that are stored in read/write memory

Other hypernyms of freeware include package, software, software package, software program, software system.

freeware (noun)	computer software (noun)
software that is provided without charge	(computer science) written programs or procedures or rules and associated documentation pertaining to the operation of a computer system and that are stored in read/write memory