I want to find all of the addresses that a program goes to when i run it. Rather than breakpointing the whole program, is there a way to save a txt file with the addresses that a program goes to when it runs?

It's called Run trace. Set your options in Options -> Debugging options -> Trace. Then press Ctrl+F11 (trace into) or Ctrl+F12 (trace over). When your done press the ... button. You can save to file with Right click -> Log to file

Be aware that the amount of data generated is... huge. That's an understatement.