Since the user interface is so simple, I would advise you to start in Windows with Visual Studio, and keep all the user interface stuff in separate files, decoupling it completely from the rest of your application.
Then, on OS X, you'll get the best visual results by creating a Cocoa application and writing the user interface in Objective C in combination with Interface Builder. You can then easily hook up the interface with your internal C++ code. (The Objective C compiler understands C++ code in the same file as the Objective C code.)
This will let you produce a cross-platform application that looks just right on both Windows and OS X, something that QT or other cross-platform kits will likely never completely achieve.