Considering it is a dual core, using a stock cooler for minor overclocks isn't that much of a problem. As long as you don't start tweaking voltages, a stock cooler should do fine until you want a moderate to major overclock. As previously stated, just watch your temperatures.
(You may know this part, but I'm just throwing it in)
Run prime95 for ~12+ hours to check for stability and temperatures, or run a 1h session of OCCT. Programs such as HWMonitor, Real Temp, and Core Temp are great for monitoring temperatures. Real Temp and Core Temp only show CPU temperatures, whilst HWMonitor will show you a multitude of temperatures and other sensor information.