Cambridge vs Cambridge University

Cambridge and Cambridge University both are nouns.

Word	Noun	Adjective	Verb	Adverb
Cambridge	Yes	No	No	No
Cambridge University	Yes	No	No	No

As nouns, Cambridge and Cambridge University are synonyms defined as:

Other synonyms of Cambridge include University of Cambridge.

Cambridge (noun)	Cambridge University (noun)
a university in Cambridge, England	a university in Cambridge, England
a city in eastern England on the River Cam; site of Cambridge University
a city in Massachusetts just to the north of Boston; site of Harvard University and the Massachusetts Institute of Technology