Wiktionary
vb. 1 (&lit get onto) 2 To move onto an object, especially one on which it is possible to stand. 3 To contact a person or organisation about a particular matter. 4 To connect, especially to the Internet or a network. 5 (context transitive English) To scold someone.
WordNet
Usage examples of "get onto".
He would get onto that station, come hell or high water or the damned souls of all eternity, trying to bar the way.
Roger was always interested in the battles, but get onto the societal structures and faction struggles, and he completely lost interest.
I don't mean that he has the kind of gung-ho conquer-the-universe attitude that we had to have to get onto Geographic in the first place.
Even so, she found herself in a cross corridor and had to retrace her steps before she could get onto the direct path.