Besides the fact that they both are cutting tools, they are very different knives. I have two Milis and recently got the Bradley. My EDC cutting chores aren't that intensive - I usually carry smaller, lighter knives - Spyderco CF Caly 3, CF Native, Sage I, Sage II, or Benchmade Mini Dejavoo. However, here's my take on the Military vs Gayle Bradley.
The Military SCREAMS "Tool". As a cutting device, it is almost a multi-tool within itself, great for any cutting task. It's not pretty or well refined. The blade works well for food prep. You could easily dig a splinter out with the tip - it is needle sharp. I love a full flat grind. I don't carry a knife for self defense (that's what my Ruger LCP is for). But if I did, I would want it to be a military. I'm sure you could pierce through just about anything with that tip. It also makes a great ice pick. It is extremely light weight for it's size and can accommodate a number of various grips, even using gloves. Whenever my fiance' and I go to the cabin for vacation or her father's farm, I grab the mili.
The Gayle Bradley is an entirely different animal. The fit and finish are as close to custom as you can get in a production folder (same with the Native CF). Everything is smooth and polished, even though it is an extremely strong knife. I look at the Bradley as beautifully made, hard use, EDC folder (not meant to be used as a self defensive weapon). Some complain about the liner not having a detent to ease unlocking. There is a Youtube interview with Mr. Bradley concerning why this is the case. This was done for a reason - safety. It is meant to make it difficult for the knife to unlock during hard use. The liners are so thick and the lock-up is so solid, I almost think of it as a frame lock with decorative carbon fiber scales. However, the twill pattern CF scales serve a purpose - adding just enough traction for a solid grip. I usually prefer a full flat grind. Although, I don't mind a hollow grind as long as it is deep. And, the Bradley is a deep belied hollow grind. After using the knife, I wouldn't change the grind. About the only thing I would change about the Gayle Bradley is to add a little extra jimping on the thumb ramp and a larger finger guard with some jimping there also. However, being that this is not a self defense tool (IMHO), the lack of extra jimping is not a deal breaker for me.
Given the way I use my knives, as much as I love the Mili, at this point I would probably choose the Bradley. I think it is one of the best deals you can get in a knife. It cost less than either of my Milis, but is much classier, with higher tech materials. I got my Bradley for $116 on the net. I can't believe you can get this much knife for this little money. It is a good thing I don't have to choose between the two, though.
As a side note, you will be happy with either. Spyderco has become my favorite knife manufacturer, by far. I have yet to have an issue with any knife I have ever bought from them. I have a lot of knives. I have had issues with a few Benchmades, Sogs, CRKTs, Kershaws, and Lone Wolfs even though they were new out of the box. Every Spyderco I have ever purchased has been issue free. Enjoy your knife, whatever decision you come to.