Detective Inspector Scott Beard and Detective Senior Sergeant Greg Brand, the two police officers who led the investigation, have arrived at the historic High Court building.
International media have arrived at the Auckland courthouse and have begun reporting for organisations around the world.
The killer's father and other family members have arrived at the courthouse.
The gallery in courtroom 11 is quickly filling up with members of the public.
Two police officers and a court security officer are at the door of the courtroom to monitor members of the public.
Justice Simon Moore has now entered the courtroom and the proceeding has begun.
Grace's sister in-law Victoria will now begin reading her victim impact statement via a video link from England.
The video link has a photo of Grace Millane in the background on her graduation day.
Victoria says she and Grace had become the "very best of friends" since she married into the family.
"I didn't cry when I found out Grace was dead, I felt so empty, I didn't have any emotion left."
Over the past three to four months, Victoria said, she has felt even more sick and heatbroken.
"There is an empty space in his heart for his sister," Victoria said of her husband Michael, one of Grace's two brothers.
He said his sister was a "beautiful soul" who had been planning her world travels since she was 11 years old.
Grace's mum Gillian MIllane's statement will now be read.
She said the killer had "taken my daughter's future" and robbed her family of so many memories.
She said she received a phone call in December 2018 from her husband David "confirming the worst possible news ever".
Gillian said she sat in "agonising pain" for days not knowing where her daughter was, as police searched for the missing backpacker.
She said her daughter was murdered by a man whose "name can't even be spoken".
Gillian said she often sprays some of Grace's perfume in her room to help remember her daughter.
The news she recieved when Grace was found in a shallow grave will "haunt" her for the rest of her life, Gillian said.
Gillian said photographs of Grace will be the only thing the Millanes can share with their family for the rest of their lives.