Most apartment communities will put together a furnished apartment for you. Or, you can simply rent furniture youself. Cort has pretty reasonable packages and you can choose which rooms/pieces you'd want. I'd say if you were going to stay for a year, you would be better off buying some inexpensive furniture. You could always sell it at the end of a year and get some value back. Ikea has very affordable pieces.
Realistically though, after a year here, you won't want to go home! Austin has a very high retention rate!
Best of luck!