Hey, that's great!
My first bike (back in 1982!!) was also a CB360 - a 1976 model my older brother bought brand new!
Yep, it's an "other bike", but it IS a SOHC - a Single OverHead Cam. It's just a SOHC-2, not a SOHC-4.
And, not to detract anything at all from THIS site, but here's a good site dedicated to the Honda Twins: http://www.hondatwins.net/forum/
Good luck, have fun with it, and welcome aboard!
Kirk