public holiday vs legal holiday

public holiday and legal holiday both are nouns.

Word	Noun	Adjective	Verb	Adverb
public holiday	Yes	No	No	No
legal holiday	Yes	No	No	No

As nouns, public holiday and legal holiday are synonyms defined as:

public holiday and legal holiday: authorized by law and limiting work or official business

Other synonyms of public holiday include national holiday.

public holiday (noun)	legal holiday (noun)
authorized by law and limiting work or official business	authorized by law and limiting work or official business