An easy way to test if it does run well is by appending the following to your cron.php file:
try{
$myFile ="cronlog.txt";
$fh = fopen($myFile,'w');
$stringData = date('l jS \of F Y h:i:s A');
fwrite($fh, $stringData);
fclose($fh);}catch(Exception $e){Mage::printException($e);}
This snippet will create a cronlog.txt file (if the file doesn't exist) and append the date/time of your cron runs.