What type of bird is this? Fig Parrot?

Hi CassSommer
Consider the possibility that it might be a Peach-faced Parrot (also known as a "Love Bird").
They sometimes have blue tinges - as colour variants.
They are cage-birds, i.e., what you are looking at is possibly an escapee.
BryanTan posted a photo of one, in Melbourne, last month.
Have a look.
http://www.birdsinbackyards.net/forum/messages.cfm?threadid=B50D2819-06CF-089C-1FD706FC5AE45A7F
In that case, the ID was confirmed by Holly, who used have them as pets.
Cheers
Denis