news program vs news show

news program and news show both are nouns.

Word	Noun	Adjective	Verb	Adverb
news program	Yes	No	No	No
news show	Yes	No	No	No

As nouns, news program and news show are synonyms defined as:

news program and news show: a program devoted to current events, often using interviews and commentary

Other synonyms of news program include news.

news program (noun)	news show (noun)
a program devoted to current events, often using interviews and commentary	a program devoted to current events, often using interviews and commentary