You can't add the minimize button yourself as it is handled by the window manager. You can tell the window manager how your dialog should be handled using Window Manager hints. This is done using the windowFlags property of your widget. There's also an example demonstrating this.
Best Answer
At the risk of pointing out the blisteringly obvious...
Qt Designer -> File -> New -> Dialog [with buttons/without buttons] -> Create.
You then drag widgets from the Widget Box into the dialog. (View -> Widget Box if you can't see it.)
If you want auto-sizing support, you drag a Layout into the Dialog, then drag your Widgets into the layout.