Apple TV Foundation is a series created by Apple, but it is not an exact adaptation of the book it is based on. It does take some of the stories from the original book and adapts them to their own style.
The biggest difference between the Apple TV series and the original book is the focus of the stories. In the book, each story focuses on a different character and the stories are largely independent of one another. In the Apple TV series however, the overall story is much more interconnected, with a narrative arc that follows the characters and their struggles as they attempt to build a safe, caring and just community.
The original book did not have a single character or story that followed the entire book. It was more of a collection of stories within the world created by the author, including stories of heartbreak, success and insight. The Apple TV Foundation chooses to focus on the overarching narrative of the characters, which are much more developed in the TV series than the book.
Apple TV Foundation also features a more diverse cast than the original book. In the book, the characters are largely white, while in the TV series, they are drawn from a variety of ethnic backgrounds. This brings more colour and life to the stories, as well as a perspective that resonates with viewers in a much more direct manner than the book.
Overall, Apple TV Foundation provides a unique take on the original book, but it is its own separate entity. It does draw influence from the book, but has enough of its own unique style that it can stand on its own.