In DragonVale for the iPhone and iPad, the Bronze Olympus Dragon is a limited dragon only available during the Olympics.
To get a Bronze Olympus Dragon, you need to breed an Air hybrid with a Lightning hybrid. For example, Willow + Quake, Blazing + Crystal, Fog + Storm, Blazing + Storm.
Check out my DragonVale Breeding Guide for more dragon breeding combinations as well as other Air and Lightning hybrid combinations you can use to get your Bronze Olympus Dragon.