I believe it to be an Eucalyptus largiflora or River Box, but could be
wrong. We were given it as a tiny tube-stock plant by a local who had
some to spare - and this was 30+ years ago, so not a fast grower.
It is a favourite with the koalas, though the young koalas prefer the
tree next to it because it has a lean making it easier to climb.
We can see this tree every time we watch TV, it is directly in front
of us, down the hill a bit, but centre stage from the balcony, though
from memory I took this photo at ground level.