Add a specific post category to a specific page

I’ll bump this up with a bit more info if that helps me get an solution.

I use the twenty fourteen theme and the page.php file looks like this:

<?php
/**
 * The template for displaying all pages
 *
 * This is the template that displays all pages by default.
 * Please note that this is the WordPress construct of pages and that
 * other 'pages' on your WordPress site will use a different template.
 *
 * @package WordPress
 * @subpackage Twenty_Fourteen
 * @since Twenty Fourteen 1.0
 */

get_header(); ?>

<div id="main-content" class="main-content">

<?php
	if ( is_front_page() && twentyfourteen_has_featured_posts() ) {
		// Include the featured content template.
		get_template_part( 'featured-content' );
	}
?>
	<div id="primary" class="content-area">
		<div id="content" class="site-content" role="main">

			  <?php

				// Start the Loop.
				while ( have_posts() ) : the_post();

					// Include the page content template.
					get_template_part( 'content', 'page' );

					// If comments are open or we have at least one comment, load up the comment template.
					if ( comments_open() || get_comments_number() ) {
						comments_template();
					}
				endwhile;
			?>

		</div><!-- #content -->
	</div><!-- #primary -->
	<?php get_sidebar( 'content' ); ?>
</div><!-- #main-content -->

<?php
get_sidebar();
get_footer();

I now noticed that it says this

“This is the template that displays all pages by default.
Please note that this is the WordPress construct of pages and that
other ‘pages’ on your WordPress site will use a different template.”

in the comments in the beginning of page.php code, does this mean that I should add my code in another template?