Although, I think there used to be (and maybe still have available) wireless routers that you just plug into your internet source - in your case that would be the router next door - and it would broadcast a signal without any set up. However, this is not secure. If I recall correctly - I used one like that before - I think it was a Belkin brand. All I did was plug in the ethernet cable coming out of my modem - and that was it!
I hope that helps.