You will need to create a simple custom module for this
- Create your new module (http://drupal.org/node/361112)
- Create the page and add the form (http://drupal.org/node/1043838)
- On form submit, check if node by give ID exists
- Load node and get the node url (or alias) (Getting the URL of a node in Drupal 7)
- Display the results (see default_value in http://api.drupal.org/api/drupal/developer!topics!forms_api_reference.html/7)