Easing the download of a regularly uploaded pdf

I would use ACF (Advanced Custom Fields) to give the option to add the file to the homepage. Then once a week when he needs to update it he can just go in and replace the existing file by uploading the new one. If the description or anything has to change then you can just add the additional field which he can modify too.

Advanced Custom Fields Plugin – https://wordpress.org/plugins/advanced-custom-fields/

Example of file output:

$pdf_file = get_field('pdf_file_field');
if ($pdf_file) {
    echo '<div class="pdf-link"><a href="' . $pdf_file['url'] . '">Download Now</a></div>';
}