homework vs lesson

homework and lesson both are nouns.

Word	Noun	Adjective	Verb	Adverb
homework	Yes	No	No	No
lesson	Yes	No	No	No

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

Other hyponyms of homework include classroom project, classwork, prep, preparation.

homework (noun)	lesson (noun)
work, such as schoolwork or piecework, that is done at home	a task assigned for individual study
	a unit of instruction
	punishment intended as a warning to others
	the significance of a story or event