Allow a non-author to see revisions of a post

Basic solution

Let’s create new role translator, with capabilities matching capabilities of author role. Insert the code below to functions.php of your current theme:

function wpse_add_translator_role() {
    if ( empty( get_role( 'translator' ) ) ) { 
        $role = get_role( 'author' );
        add_role( 'translator', 'Translator', $role->capabilities );
    }
}
add_action( 'init', 'wpse_add_translator_role', 10 );

Once the role translator is created, you can remove the code above from functions.php, or just comment out add_action line:

// add_action( 'init', 'wpse_add_translator_role', 10 );

Template modification

Find template used to display single post. Immediately after the_content(); tag insert the code below:

$user = wp_get_current_user();
if( 0 != $user->ID ) {
    if( in_array( 'translator', $user->roles ) ) {
        global $post;
        $revisions = wp_get_post_revisions( $post->ID );
        if( !empty( $revisions ) ) {
            echo '<div id="revisions" style="clear:both"><h3>Revisions</h3>';
            foreach ( $revisions as $revision ) { 
                echo 'ID = '; echo $revision->ID; ?>
                <textarea rows="10"><?php echo addslashes( $revision->post_content ) ?></textarea><?php
            }
            echo '</div>';
        }
    }   
}

Prepare translator(s)

Edit every user who is a translator and change his role to translator.

Test

Login as translator and select a single post. You should see its content and all available revisions.

Final notes

The code inserted into your template can be further modified, to display revisions for posts of other authors only. This part is easy, therefore, I’m leaving it up to you.

It is important to remember that all changes, mentioned above, should be applied to the child theme, not the original one.