book review vs critique

book review and critique both are nouns.

Word	Noun	Adjective	Verb	Adverb
book review	Yes	No	No	No
critique	Yes	No	Yes	No

As nouns, critique is a hypernym of book review; that is, critique is a word with a broader meaning than book review:

book review: a critical review of a book (usually a recently published book)
critique: an essay or article that gives a critical evaluation (as of a book or play)

Other hypernyms of book review include critical review, review, review article.

book review (noun)	critique (noun)
a critical review of a book (usually a recently published book)	a serious examination and judgment of something
	an essay or article that gives a critical evaluation (as of a book or play)

book review (verb)	critique (verb)
	appraise critically