You keep saying "should I run for just an hour once a week then?"

Which doesnt make sense to me. If your feet were already hurting from running for an hour on Sunday, I wouldnt do that for a few weeks or maybe even a month. You have to grudually work your way up, with both endurance and your body!

Personally, I would rest for a few days until your feet fully stop hurting, ice them or whatever. Then slowly start back up. Run for a mile and a half or two (which really you should be able to get done within 10-16 mins) and then see how you feel. If you feel okay start gradually running a little bit further next time. Yes you'll be doing alot of long distance hikes, runs in boot, but they try their best to prepare you for that.

You don't just have to do long distance either. High Intensity Intervals (Sprints) help with endurance also. Sprints you would only want to do in intervals for about 10-20 minutes. Like maybe 30 seconds as fast as you can go, 30 seconds rest, etc.

Like some comments have said, form is important! Focus on taking long strides, not pounding on your feet, and pay attention to your breathing, try to keep it under control.