Julia Gillard will be quizzed on her achievements as the country's first female prime minister and her defeat during a public interview with journalist Anne Summers in Sydney on Monday.

Ms Gillard has kept a quiet profile since she was ousted as prime minister in June.

Australia's first female prime minister has agreed to be the inaugural guest of the Anne Summers Conversations, which will be held at the Sydney Opera House on Monday night.

The event will run for 90 minutes including an hour long interview and 30 minutes of questioning from the audience.

A similar event will be held at Melbourne Town Hall on Tuesday.

Tickets to both events sold out within hours of going on sale.

Dr Summers told AAP earlier this month she wanted to give Ms Gillard the opportunity to share her proudest achievements in office, how she dealt with the media's harsh treatment and her feelings on being voted out of the job.

"I'll ask her about her plans for the future," she said at the time.

Ms Gillard revealed this month she was writing her memoir to be published in October 2014.

The former Labor leader conducted an interview with Random House about her book and said it would describe her "political and personal journey".