Sorry, I don’t recall the particulars of the episode in question. I watched the show often when I was a kid but haven’t seen it in at least 25 years.
when my father got his license in nebraska; he went with his dad (to prove identity) signed the handwriten paper and drove home (not much to hit in the 1920’s).
when i looked into getting a license (small town in nebraska, in the 80’s) the test was drive around the courthouse, park, go in and answer a few questions.
driving test vary widely depending on local.