Yes, you can use a milspec upper and lower receiver with this kit.
This Cmmg RDB bolt & barrel kit will work with most Mil-Spec uppers & lowers, you will also need the Cmmg 9arc magazines. This Radial-Delayed Blowback system is different from your normal Blowback system, actually 10X better! and you don’t need any dedicated 9mm upper & lower your regular ar15 mil-spec will work just fine. Keep in mind this is a three part system RDB barrel, bcg & mags.
Cmmg recommends you use a mil-spec upper with a 5.56/223 ejection size port & not a 9mm upper with the smaller size ejection sized port.