Joanna Lindgren, the great-niece of the first indigenous member of Australia's Parliament Neville Bonner, has been appointed by the Liberal National Party as its new Senator for Queensland.

Following the marathon exhaustive voting process, which came down to a choice between her and former Australian Medical Association president Bill Glasson, Ms Lindgren said she was honoured to follow in her great-uncle's footsteps.

New LNP senator elect Joanna Lindgren with LNP President Bruce McIver. Credit:Robert Shakespeare

"I'm very happy to be filling his shoes," she said.

"He too filled a casual vacancy, just like I am, so I have big shoes to fill."