Blog category page

That all depends on what theme you are using. Are you using a GD theme?
If you are, post your WP admin details in a private reply so we can check things out a bit more.

Change the content of /wp-content/themes/supreme-directory/content-blog.php
to this:

<article <?php post_class(); ?>>
    <header>
		<?php
		if ( is_singular() ) {
			?>
			<h1 class="entry-title"><?php the_title(); ?></h1>
			<?php
		} else {
			?>
			<h2 class="entry-title"><a href="<?php the_permalink(); ?>"><?php the_title(); ?></a></h2>
			<?php
		}
		?>
	</header>
	<div class="entry-content entry-summary">
		<?php
		global $more;
		$more = 0;
		if (is_singular()) {
			the_content();
		} else {
			directory_theme_post_thumbnail();
			the_excerpt();
		}
		?>
		<?php
		wp_link_pages( array(
			'before'      => '<div class="page-links"><span class="page-links-title">' . __( 'Pages:', 'directory-starter' ) . '</span>',
			'after'       => '</div>',
			'link_before' => '<span>',
			'link_after'  => '</span>',
		) );
		?>
	</div>
	<footer class="entry-footer">
        <?php supreme_entry_meta(); ?>
    </footer>
</article>

Then delete all css for

/* Blog Archive Page */

in /wp-content/themes/supreme-directory/style.css