You don't need an application just to create a page. Just click Create a Page and fill in the information.
If you want the URL of your page you can copy it from the URL bar of your browser when you are on your page. (If it contains a ? then omit everything from the ? to the end.) If you want a custom username for your page, click Edit Page, then Basic Information, and find the "Username" section. If your page has a username then the URL will be https://www.facebook.com/username.
If you want to add an existing app to your page, search for the app in the Facebook Search field at the top, click on it, and there will usually be a button or link there to install the app or add it to your page, if it is an app that is intended to be added to pages.
If you have developed your own Facebook app and want to add it to your page, see the instructions here. Previously, all apps had an app profile page that could be used to add the app to your page, but that is no longer the case. Facebook now allows (and encourages) apps to provide a button or link for this purpose, which can be used in the app or shared on a page or on your own web site. See here for an example of how to do this. If you do not want to create a button on your app you can just go to the URL https://www.facebook.com/dialog/pagetab?app_id=YOUR_APP_ID&display=popup&redirect_uri=YOUR_URL substituting YOUR_APP_ID and YOUR_URL with your App ID and your Canvas URL from your app settings. This will pop up a dialog where you can choose the page where you want to add the app.
