breathing vs body process

breathing and body process both are nouns.

Word	Noun	Adjective	Verb	Adverb
breathing	Yes	Yes	No	No
body process	Yes	No	No	No

As nouns, body process is a hypernym of breathing; that is, body process is a word with a broader meaning than breathing:

breathing: the bodily process of inhalation and exhalation; the process of taking in oxygen from inhaled air and releasing carbon dioxide by exhalation
body process: an organic process that takes place in the body

Other hypernyms of breathing include activity, bodily function, bodily process.

breathing (noun)	body process (noun)
the bodily process of inhalation and exhalation; the process of taking in oxygen from inhaled air and releasing carbon dioxide by exhalation	an organic process that takes place in the body

breathing (adjective)	body process (adjective)
passing or able to pass air in and out of the lungs normally; sometimes used in combination