Sorry but not a clue without a close up of the foliage and bark. As you're in Oz, it may be better to post on an Oz forum or ask the botanical gardens at Sydney. This is a UK based forum with just a few Europeans and even an Oz member.
Vendée - 20kms from Atlantic coast. "We don't stop playing because we grow old; we grow old because we stop playing." - George Bernard Shaw
Hi AnnieD. It’s difficult to decide unless I get a close up of the leaves (and if possible) fruit, gum nuts, etc. I suspect it’s a Eucalyptus from its habit of growth though. By the way, my cousin lives there as well. She can see the bridge from her place.😄
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"We don't stop playing because we grow old; we grow old because we stop playing." - George Bernard Shaw