Get rid of line 9 (last;), and you'll get just that. (Update:) If you need to do something when it's not the first time, add an else:

while (<READ_FILE>)
{
   if ($cur_code == $area_code)
   {
      //Some logic here
   }
   else
   {
      $cur_code = $area_code;

      if ($first_time == 1)
      {
         $first_time = 0;
      }
      else
      {
         //Some logic here
      }
   }

   print "Hello";
}
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(I reformatted your code to a style with which I am more familiar so I could read it more easily. Don't take it personally.)