Bit of a necro-post but it's code I use all the time. It's complicated and uses reflection to avoid throwing errors on non-Mac systems, however.
In the initialization of your app or as a static code block:
if (System.getProperty("os.name").contains("Mac")) {
    try {
        Object app = Class.forName("com.apple.eawt.Application")
            .getMethod("getApplication")
            .invoke(null);
        Object al = Proxy.newProxyInstance(
            Class.forName("com.apple.eawt.AboutHandler").getClassLoader(),
            new Class[]{Class.forName("com.apple.eawt.AboutHandler")},
            new AboutListener()
        );
        app.getClass()
            .getMethod("setAboutHandler", Class.forName("com.apple.eawt.AboutHandler"))
            .invoke(app, al);
    }
    catch (Exception e) {
        //fail quietly
    }
}
At the bottom of the source file after the last curly brace
public class AboutListener implements InvocationHandler {
    public Object invoke(Object proxy, Method method, Object[] args) {
        //Show About Dialog
        return null;
    }
}
When releasing a full application in java things like this make nice small touches. This should be mostly copy-and-paste-able but you will need to add a line or two to display an about box. If you need to test really badly use web-start, dropbox public links, and a neighborhood Apple Store.