The court heard how the grandmother beat the man around the head and neck with a heavy object before setting his legs alight.
"This is a 77-year-old man who has been incapacitated by a blow to the head and neck. He was vulnerable and she set him alight," Mr Cathcart said. "This has been carried out by a calculated mind that contains no pangs of conscience."
Justice Ellis said it was not clear whether the head injury, the fire or both had killed the victim.
Only hours earlier, the offender had set a tissue box alight and placed it underneath Mr Dixon's bed. He woke up and put out the fire. She later deactivated smoke alarms and waited for the fire to take hold before she called emergency services.
The judge said the woman's actions could be partially explained by a history of sexual abuse and subsequent mental health issues; however, the victim was not the perpetrator of those crimes.
The woman was also sentenced on four counts of arson, one of attempted arson and four charges of theft by a person in a special relationship amounting to $12,500. The charges stemmed from offending at her workplace before the murder.