I read the whole thing. The following were my takeaways. Please note, I have no legal background, so if I've misunderstood something, please feel free to call me out. Just posting this for people that can't access the document:
Suspension is vacated. Used Bountygate and Peterson-Rice cases for precedent in many spots. Quoted Tagliabue a lot. Basically Brady didn't have proper notice he could be suspended, Wells isn't independent, and Brady didn't have access to documents at the arbitration that he should have.
What I found interesting is there's a note at the end that basically says he makes no judgement on Brady's other claims- basically that the investigation was BS and no crime was committed on the basis that it doesn't even matter if wrongdoing occurred or not given how the punishment was handed down. (Essentially, Brady was being punished for the wrongdoing of others and that's never been done via Law of the Shop in the NFL. Since it wasn't Brady's wrongdoing anyway, it doesn't matter if wrongdoing occurred or not.)
Hope this is helpful.