In this context, the expressions "get on with" and "get along with" have the same practical meaning. "Get along with" is commonly heard in the United States. "Get on with" is more British. 是相处的意思。If you add the word "well" to either expression, then that ratchets the intensity up a notch, more than just "get on" or "get along". So "get on well" indicates a better relationship than the minimal "get on". People may dislike each other, but still "get on" because they have to, like in a work situation.

no differences whatsoever as far as i can tell. I believe that get on with is a british expression