Media Manager: refresh library after new selection

I guess you copied that code from somewhere. Just from reading through it, I don’t see wppf_gallery_ids set anywhere aside from the init function, which means that it can’t update anything as the check is empty. I see two options: Either update it during selection within the select function, or just push wppf_new_ids into the wppf_gallery_ids array.

To me it seems that both variables wppf_new_ids/_gallery_ids have pretty much the same functionality and one could get dropped.

Aside from that, you should wrap your whole piece of code in a self executing function and push the globals into it:

( function( $ ) {
    'use strict';
    // your code
} )( jQuery || {} );

That also means that you can use $ instead of jQuery.

Another thing that I’d avoid is polluting the global namespace. When you just add GalleryControl like you did, then you already have window.GalleryControl set. With such a generic name, a collision with other code will likely happen yesterday than tomorrow. Better style is to use your own, already existing namespace on the window object: wppf. That means your final wrapper could look like this:

( function( $ ) {
    'use strict';

    var gallery;

    gallery.init = function() {
        //
    };

    gallery.frame = function() {
        //
    };

    gallery.select = function() {
        //
    };

    gallery.updateFrame = function() {
        //
    };

    window.wppf = window.wppf || {};
    window.wppf.gallery = window.wppf.gallery || {};
    window.wppf.gallery = new gallery();

} )( jQuery || {} );

More on that topic in excellent article about JS Objects.