It's possible you are misremembering the name of the dog or the episode. If you can provide more details, such as the season or episode number, I might be able to assist you in finding the information you're looking for.
What episode Cesar millan got bitten by holly?
While Cesar Millan has been bitten by dogs many times throughout his career, there is no documented instance of him being bitten by a dog named "Holly" in any episode of his shows.