NSW recorded its fourth straight day of 400-plus new COVID-19 cases overnight.
NSW recorded 452 cases in the 24 hours to 8pm on Monday, with 152,000 tests.
At least 50 were infectious in the community statewide, Ms Berejiklian with a number under investigations.
A woman in her late 70s died at Westmead hospital.
The premier said numbers were likely to continue bouncing around.
"Our key aim is keeping people out of hospital and keeping people alive," she said.
Dubbo, Walgett and western NSW remains "of enormous concern", Ms Berejkilian said.
"There are extra supports being sent to western NSW to ensure we got on top of the cases out there," she said.
Three out of four new COVID cases in NSW were under 40, NSW Premier Gladys Berejiklian said as the state surpassed 5.2 million vaccinations.
Hunter New England Health added two new Hunter exposure sites just over an hour before the 11am press conference.
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She added that NSW had recorded 5.2 million jabs, putting it "well on its way" to 6 million by the end of August. She said more than half of those over 16 in the state had received at least one dose, which meant the chance of contracting and transmitting the virus was "substantially reduced".
"We're really keen for everybody to look up your suburb to see what the vaccination rate is in your suburb," Ms Berejiklian said.
"Life will be much freer once we get to 70 per cent [fully vaccinated] and 80 per cent [first jab]," Ms Berejiklian said.
"It doesn't mean it will be completely free ... but it will be a lot freer."
Deputy premier John Barilaro and Ms Berejiklian will later today address regional media, the second day of a press conference specifically for areas beyond greater Sydney's borders.