What does "get going" mean?

See get a move on.

get something going. Start something, get something into full swing. For example, Once we get production going we'll have no more problems. This usage also appears in when the going gets tough, the tough get going, meaning that difficulties spur on capable individuals; the first tough here means “difficult,” whereas the second means “strong-minded, resolute.” For example, That problem won't stop Tom; when the going gets tough, the tough get going. Also see swing into action.

Make someone talkative or active, as in Once he got her going on her grandchildren, there was no stopping her. [Colloquial; late 1800s]