"My GF thinks this pug is the cutest thing ever, so I'm going to make it the least cute thing in history - a Nazi"
And then trained it to react to things like "Gas the Jews" and "Sieg Heil". This is not at all a central example of speech inciting violence.
Funnily enough, Nazi Germany also tried to prosecute someone for training a dog to salute when Hitler was mentioned [0] - apparently that was disrespectful.
How was he inciting violence? He trained a pug to do a nazi salute as a way to make it less likeable to his girlfriend(or at least, that is the set-up to the video). A prerequisite for the joke is that "gas the Jews" is an abominable thing to say, and that the Nazi salute is as far away from "cute pug" as you can come.
Hate speech involves intent. Here he used "gas the jews" as a means to project intent on a pug to make a cute pug Nazi. The joke is that a cute pug is a Nazi, and the joke would not work if that wasn't considered that a bad thing. The point of the video is "Nazi = bad".