The sister of Eurydice Dixon has told the man who raped and killed the aspiring comedian that her murder had "shattered" her family, as part of a tearful victim impact statement read out in the Supreme Court of Victoria.

Key points: Eurydice Dixon was walking home from a gig when she was killed in June last year

Eurydice Dixon was walking home from a gig when she was killed in June last year Jaymes Todd has pleaded guilty to her rape and murder and is facing a two-day plea hearing

Jaymes Todd has pleaded guilty to her rape and murder and is facing a two-day plea hearing The death prompted an outpouring of grief across Australia and sparked a national debate about women's right to feel safe

Ms Dixon, 22, was attacked as she walked home through Princes Park in Melbourne's inner-north in June 2018.

Jaymes Todd, of Broadmeadows, pleaded guilty to Ms Dixon's rape and murder in November last year.

Ms Dixon's sister, Polly Cotton, wept as she confronted Todd on the first day of his two-day plea hearing.

"I want to see her, hear her, be with her, have coffee with her, but because she was murdered I will never see her again," Ms Cotton said.

"I wish regularly over the course of my day that I could have saved her.

"I suffer PTSD. Any mention of the word 'rape' or 'murder' and I freeze up in terror.

"Sadly, the strongest emotion I feel is anger. I am seething in anger. My rage is irrational."

"This has shattered and destroyed my family," she said.

Killer returned to crime scene hours after attack

The court was told Todd spent most of the afternoon before attacking Ms Dixon drinking.

Jaymes Todd was arrested on the same day as Ms Dixon's body was found. ( ABC News )

That night, he followed Ms Dixon after he saw her near Flinders Street Station, where her boyfriend, Tony Magnuson, had boarded a train.

The court heard he stalked her for more than 4 kilometres from the station, through the CBD to Princes Park, and that he hid behind objects to stay out of her sight.

The court was told Ms Dixon often walked through the park on her way home, and would take her shoes off to feel the grass between her toes, as she had that night.

She had messaged Mr Magnuson just after midnight, saying she was nearly home, before Todd attacked her from behind.

The court heard Todd grabbed Ms Dixon by the hair and pushed her to the ground.

She scratched him on the face.

Her body was found by a passer-by in the early hours of June 13.

After killing Ms Dixon, Todd watched violent pornography and returned to Princes Park, but was turned away by police who had established a crime scene.

Ms Dixon was an aspiring comedian. ( Supplied: Facebook )

Todd turned himself into police the next night after police released CCTV vision of him, but when questioned initially denied any involvement in Ms Dixon's death, and said the scratches on his face had come from a cat.

After being interviewed for one hour and 12 minutes, he confessed.

'I would wake up to the sound of a scream'

Mr Magnuson also spoke in court, saying he too suffered from PTSD and that the crime had stripped him of his faith in humanity.

"I am suffering from constant insomnia … throwbacks and flashbacks," Mr Magnuson said.

"When I did fall asleep, I would wake up to the sound of a scream.

"I will never look at the human race the same way again."

Todd sat quietly with his eyes shut for long periods of the proceedings.

He wept while the victim impact statements were read out.

Jaymes Todd is facing a two-day plea hearing in the Supreme Court. ( AAP: James Ross )

Footage of Todd stalking Ms Dixon played to court

A compilation of security vision from the night of the crime was played to the hearing.

Ms Dixon had performing comedy at a city venue on the night she was killed.

The court heard Todd followed her for 54 minutes.

The death prompted an outpouring of grief across Melbourne and Australia and sparked a national discussion about women's right to feel safe.

Candlelit vigils were held in Melbourne, Sydney and Canberra.

Ms Dixon was remembered by friends and family as a kind and intelligent woman whose comedy often tackled feminism and other social issues.