Generally yes, a file extension of .mm tells Xcode to invoke the Objective-C++ compiler, whereas .m tells the compiler to invoke the Objective-C compiler. You can set the compiler type on a per-file basis using the file-settings pane on the right (so you could force Objective-C++ compilation on a .m file), but this is non-intuitive and is likely to confuse future maintainers.
If you're willing to consider some advice from a long-time C++ and Objective-C user, I've done a lot of mixing of the two and over time it's more trouble than it's worth. You're much better off if sticking purely to Objective-C, and if you have some C++ library that you just have to integrate, then make a C wrapper for it.
It used to be the case that Xcode analyzer only worked on Objective-C files, not Objective-C++, so you'd lose a lot of the value that tool provides by writing Objective-C++ files. I'm not sure if Apple has changed it in the year or so since I last wrote any Objective-C++ but I imagine there isn't a lot of reason for them to. Stick with Objective-C if you can because the Analyzer is extremely helpful.