The hook system is the "OOP" way in Drupal. Drupal has been created when PHP was the only PHP version; that means that PHP didn't implement concepts present in other OOP languages, such as protected and private methods, interfaces, etc.
As result, Drupal didn't originally implement as much classes as the ones you find in the latest Drupal release, and classes where not used for the most important parts of the API implemented by Drupal, such as the content API, the form API, and the menu API.
Drupal uses a lot of plain functions, but the way they are used allows to implement something similar to OOP concepts.
The difference is that in Drupal it is not necessary to create a class that extends another class. Every module that implements the right hook can extend the code implemented by another module.
For example, if you need to extend the form provided by another module, you implement hook_form_alter() or hook_form_FORM_ID_alter(), and you can add form fields from the form created by another module, without to know which is "class" of that module. (Differently, in the OOP paradigm, you need to know which is the class that you want to extend.)
In the specific case, if you need to provide a way to allow users to upload a file while they are editing a node, which is then uploaded to a service site, then you can:
$form['mymodule_pdf_file'] = array(
'#title' => t('Image'),
'#type' => 'managed_file',
'#description' => t('The uploaded PDF will be loaded on the Calameo web server.'),
'#default_value' => variable_get('mymodule_pdf_file', ''),
'#upload_location' => 'public://mymodule_pdf_files/',
);
Add a form submission handler that load the file using $file = file_load($form_state['values']['mymodule_pdf_file'])
upload it to the Calameo server.
The files uploaded with the "managed_file" form field are temporary, by default; that means they are removed when they are 6 hours old, the first time the cron tasks are executed. If you want to make them permanent, then you should use code similar to the following one:
$file = file_load($form_state['values']['my_file_field']);
$file->status = FILE_STATUS_PERMANENT;
file_save($file);