What is Australia like? Where are the best places to visit ?

I have always wanted to visit Australia. I want to know where the best places to visit on vacation to get a feel of the real Australia and the culture and people. I know its hard to narrow it down to just a vacation but any suggestions would be appreciated.
Wow Jason H ! Maybe you should be a travel agent your answer made me want to jump on a plane today !! Thanks for the great answer. I’m from US. Sounds like perhaps your on vacation now? Great !!! Info !! Enjoy yourself if you are traveling!!!!!