A young woman allegedly lured a man she met on dating site Plenty of Fish to her Melbourne house for sex and strangled him after visiting websites on how to get away with murder.

Jamie Lee Dolheguy has been charged with murder over the death of Indian student Maulin Rathod at a Sunbury house in July 2018.

"The accused invited this man to her house and she formed the intent to kill him before he got there and she did just that," prosecutor Patrick Bourke told a Victorian Supreme Court jury today.

Jamie Lee Dolheguy (centre) arrives to the Supreme Court of Victoria, Melbourne, Wednesday, November 20, 2019. (AAP)

"She killed him under this ruse or pretence they were going to engage in consensual sexual activity that would involve choke play."

After briefly texting Mr Rathod on the dating site Plenty of Fish, she invited him over.

Prosecutors said while waiting for him to arrive she visited a website titled "ten steps to commit murder and get away with it".

She also allegedly typed "I'm going to kill someone tonight for fun", "I'm going to kill someone tonight help" and "I will kill someone tonight, I want to commit murder" into a search engine.

"He was in the wrong place, with the wrong person, at the wrong time," Mr Bourke said.

It is not disputed that Dolheguy killed Mr Rathod, but whether it was her intention to kill or very seriously injure him.

"What is disputed is that she had murderous intent," her lawyer told the jury.

The lawyer said the young woman had a difficult upbringing, had been in care since she was 10 and had two full time carers from the age of 14 until she turned 18.

"Ms Dolheguy is a very damaged young person, you will hear she has very complex needs," she said.

She was 18 at the time of the attack but turned 20 in October.

During the trial openings Ms Dolheguy sat in the dock using colour pencils, and appeared to be drawing.

The trial continues in front of Justice Peter Almond.