A 24-year-old mother has died in hospital after allegedly being run off the road and bashed by her former partner, an ex-bikie, on the Gold Coast.

Tara Brown had sought help from police on domestic-violence-related issues days before she was allegedly beaten with a metal plate while trapped in her upturned car.

Queensland Police Minister Jo-Ann Miller said the matter was being investigated.

"The appropriateness of the response in relation to her visiting a police station .... that has been reported to the Ethical Standards Command which was the right thing to do," Ms Miller said.

"And a senior officer will be investigating the appropriateness of the response to [Ms Brown] seeking assistance."

Tara Brown had been on life support after the attack on Tuesday but died about 9:00pm on Wednesday night at Gold Coast University Hospital.

Lionel Patea, 24, is the father of Ms Brown's child and a former Bandidos bikie gang member.

He was charged with attempted murder at a hospital bedside hearing on Tuesday, where he was recovering from what are believed to self-inflicted stab wounds to the neck and chest.

In a statement, the Queensland Police Service said those charges would be upgraded to murder.

Patea is in a secure unit at the Princess Alexandra Hospital in Brisbane, after being transferred from the Gold Coast.

Brown 'bashed with metal plate'

CCTV footage showed Ms Brown was chased in her car and rammed off the road by a man driving a black four-wheel drive at Molendinar.

Police alleged that during the incident on Tuesday, Patea repeatedly bashed Ms Brown with a metal plate while she lay trapped and injured in her upturned car, until witnesses pulled him away.

They claim Patea had waited for Ms Brown at a childcare centre on the morning of the attack.

It was alleged the pair was then involved in a physical altercation while stopped in separate cars at traffic lights on Macquarie Street, while travelling between Nerang and Molendinar.

Police have appealed for any witnesses to come forward.

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Premier Annastacia Palaszczuk launched an investigation today into whether Ms Brown's pleas for help were ignored before she was killed.

Ms Palaszczuk said she was shocked and saddened by the event.

"There are incidents where sometimes police are not acting fast enough, so let's get that matter investigated," she said.

"But if we can do more, we must do more."

She said she was horrified by a spate of domestic violence attacks over the last week.

Ms Palaszczuk said the violence could not continue.

"One of these events occurred in my electorate of Wacol as well," she said.

"We must do more — domestic violence is real — I think all Queenslanders at the moment would share with me our complete concern about what has happened over the last 48 hours," she said.

'Tara, she was our girl'

Flowers have been laid at the scene where Ms Brown's car was allegedly rammed off the road.

Friends Remus and Stacey Gentles spent an emotional Thursday morning at the site.

"Tara, she was our girl, she played touch [football] with us, she was like a family member ... she was like a big sister to my daughter, a little sister to me," Ms Gentles said.

Dozens of mourners gather at the site where Tara Brown was allegedly attacked to remember her. ( ABC News: Tom Forbes )

"She was life, she was fun, bright, bubbly happy; she was beautiful inside and out."

Mr Gentles said the tragedy had "broken our hearts".

"This kind of stuff happens to the best of people," he said.

"[Tara] was always happy, she always had her daughter around her, yeah she was a bit of a family lady."

Dozens of mourners attended the site later in the day to lay flowers and pay their respects.