Hi from Cairns and welcome to the forum. Yes, it looks quite similar to a Myford ML1 but not quite, and as you say, no name cast into the bed. It looks quite English though, with T slotted cross slide and tool clamp etc. It seems most Aussie lathes of that era were the slightly larger industrial/commercial workshop size rather than model engineer size, but who knows?
Have you had a look on lathes.co.uk? They have a list of Aussie lathe makers and pics etc here
**LINK**
Whatever it is, it looks like a good old machine. I have a Drummond of similar vintage that still does all I need in the shed for old motorbike work.
The best book I know for the beginner on lathes of this vintage would be L H Sparey's "The Amateur's Lathe". It's still in print and cheap enough from Book Depository in the UK. It includes a good section on sharpening lathe tool bits too, always a bit of a learning curve at the beginning.
Have fun!