Brown, the daughter of singers Whitney Houston and Bobby Brown, was found face-down and unresponsive in a bathtub in her suburban Atlanta home in January 2015.
Gordon, who also lived there, and a friend were listed on the police report as being in the home when investigators arrived there.
The wrongful death suit said other people were there when Brown was initially found unresponsive.
She was in a coma for six months before dying in hospice care at the age of 22 on July 26, 2015.
Her death was similar to the way her mother died and drew worldwide headlines and the frenzied attention of the tabloids.
Fulton County Superior Court Judge T. Jackson Bedford ruled in September that Gordon repeatedly failed to meet court deadlines in the civil suit.
His order said that means the conservator of her estate wins by default.
Bedford on Thursday awarded damages of $36,250,000, the estate's lawyers said in an emailed statement.