pear vs pome

pear and pome both are nouns.

Word	Noun	Adjective	Verb	Adverb
pear	Yes	No	No	No
pome	Yes	No	No	No

As nouns, pome is a hypernym of pear; that is, pome is a word with a broader meaning than pear:

pear: sweet juicy gritty-textured fruit available in many varieties
pome: a fleshy fruit (apple or pear or related fruits) having seed chambers and an outer fleshy part

Other hypernyms of pear include edible fruit, false fruit.

pear (noun)	pome (noun)
sweet juicy gritty-textured fruit available in many varieties	a fleshy fruit (apple or pear or related fruits) having seed chambers and an outer fleshy part
Old World tree having sweet gritty-textured juicy fruit; widely cultivated in many varieties