The biggest problem you'll face is your dog weeing on the lawn, it'll leave dead brown patches with darker green borders.
There are a few ways of dealing with this - train your dog not to wee on the lawn, use special additives in your dogs food so that his wee doesn't kill the grass (not sure if this works but there are products out there for this purpose), replace your grass with artificial grass (not as nice as the real stuff but you also don't have to cut it every week!).
I hope this helps,
Spruce Garden Services
Edinburgh & Lothians