What is this?
I am not able to confidently ID this one, but I can tell you it does not look like it's an australian native plant.
My guess is it's a fairly common and hardy 'house plant', perhaps a dracaena, of which there are many varieties. If you were to break off a piece and take it to your local nursery or garden club you might get a name for it.
I am going to refer your question on in case someone else can give you a better answer.
Thank you very much. This directs me in the right direction.