NO. Not even close.
See: http://www.helpmefind.com/rose/l.php?l=2.890  Look at all of the photos.

Ok, thanks, I didn't think so!

Any suggestions to what it might be? I am trying to remember what's common and easily available here in Aus, since it was from a big-box garden centre.

I wonder if it's some sort of modern miniature rose.

If it's small, yes, I'd say it was a modern miniature.
Look up the website of the place you bought it from, and see if there are any minis that look like that, whose name begins with "M" (as in "Mlle.") or "C" (as in "Cecile Brunner").
Then, send them this photo, and ask them if they know what it is.
And, they owe you a 'Mlle. Cecile Brunner.'

Katie, which store was it brought from and was it in a pot ?