go on vs get going

go on and get going both are verbs.

Word	Noun	Adjective	Verb	Adverb
go on	No	No	Yes	No
get going	No	No	Yes	No

As verbs, get going is a hypernym of go on; that is, get going is a word with a broader meaning than go on:

Other hypernyms of go on include go, start.

go on (verb)	get going (verb)
come to pass	start to be active
continue talking	begin or set in motion
start running, functioning, or operating
move forward, also in the metaphorical sense
continue a certain state, condition, or activity