You'll have to retype your password and allow the developer app basic access to your account before you see a screen that looks something like this.

This is the basic developer page. We're going to convince Facebook we're real developers and create an app that uses its new "Open Graph" tech. Don't worry, it's not nearly as hard as it sounds.

Now, create a new app by clicking the button in the top left corner. Nobody but you will actually see the app so the information you enter doesn't actually matter. Just create an app name, a namespace (which needs to be all lower case), agree to the terms and conditions, and create the app. Now you should arrive at the app's main setting screen, as shown below:

Click on the link labeled "Open Graph" on the left to open up the Open Graph Getting Started page. To get started with Open Graph, you've got to fill in an action your app can do and an object for your app to interact with. This can be any verb and noun. (For instance, my fake app fulfills my lifelong dream of fighting a robot.)

After you've created your action and object, click the Get Started button. This will drop down the first of three pages of settings but, since no one will see them, they shouldn't matter. Quickly click through them to create your app. When you're done, you should see a page like this: