get going vs come on

get going and come on both are verbs.

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

As verbs, come on is a hyponym of get going; that is, come on is a word with a more specific, narrower meaning than get going:

Other hyponyms of get going include come up, go on, get off the ground, take off.

get going (verb)	come on (verb)
start to be active	occur or become available
begin or set in motion	appear or become visible; make a showing
	develop in a positive way
	start running, functioning, or operating
	move towards