Can I add things that aren't apps to the "Apps" page of the "new tab" view? (Ie, when you start Chrome, you can have either the Most visited or Apps tab). Is there any workaround to make a random bookmark an "app" for this purpose?
You simply need to drag an URL into your apps page. This only works half of the time though, so you might have to try several times.
Try one of the following methods:
If you have no luck with the above methods try to create a new section first by dragging an app to the right of your monitor. (A third section next to "most visited" and "apps" should appear.) Then try to drag the URL into this newly created page with one of the above methods. You can then drag and drop apps and bookmarks freely between the default apps section and your newly created one.
You can easily turn any website into a Hosted App, which is a fancy Chrome bookmark that appears as an app in your New Tab page.
It's easy to do. Just grab an example manifest file from the Chrome App documentation, change a couple of lines to point it to the site you want to bookmark, then install the 'app' from within Chrome's extension manager.