Hey Lauren, welcome to BP and good question. I actually got out of the Air Force last year, but I got started in real estate investing while I was still active duty. There are actually quite a few military members involved in real estate investing to one degree or another. While I was in I met a lot of people who owned several rental houses, one guy who managed (along with his wife) over 25 properties, and other who were in the industry one way or another.
Some of the good things about investing while serving are the resources available. I actually talked a little about this on the BP podcast episode I was on. In addition, depending on what you are looking to achieve, you can purchase properties in different markets as you move. This allows you to spread out and diversify your properties, which can be a good thing (although it can present management problems).
My favorite thing about real estate is the abundance of options. There are so many ways to invest in real estate and so many methods of managing your business...you just need to figure out what your goals are and how you want to go about achieving them. Good luck!