Will my stove's pilot light ignite automatically when the gas is turned back on?
If there were a way to spark the pilot light automatically, you would not even have the pilot light at all (you would just use THAT thing to spark the flame only when needed).   This is how my stove works:  I have no pilot light, but I have "spark plugs" at the burners (they make a loud clicking noise when the gas knob is in the Start position).  

So, by definition, if you have pilot lights, then you need them.  If you snuffed them then you need to be ready to re-kindle them, they won't re-kindle themselves.