My understanding: the firm paid Pao's lawyer bill and she droped her case. She did not take any more money to keep her freedom to speak publicly about the issue.
Is that right?
1) Pao lost the case and as a result was found to owe (part) of KP's legal bills. 2) KP has filled something with the court indicating that they don't need enforcement of that any more. Indicating either Pao paid them, or they came to an agreement to not get paid in full in exchange for Pao not appealing or related things like agreeing to not discuss them further publicly.
All the court filings really indicate is that KP considers the matter closed.