The only public transportation in Alice Springs is a very limited bus system that serves the metropolitan area. It starts from the Yeperenye Shopping Centre on Hartley Street and the people who use it most are shoppers and students. While you can certainly use it if you really want, your best bet is probably to just get out and walk because all the major attractions are within walking distance. Plus, the bus schedule can be erratic and leave you waiting for the next bus for a long time.