What "page" functionality do you need the parent type of post? I assume that you just want to be able to edit the page title and content from the backend.
If so, try the following:
:
<?php $archive_post=get_post(YOUR_CORRESPONDING_PAGE_ID); ?>
<h1 class="entry-title"><?php echo apply_filters("the_title",$archive_post->post_title);?></h1>
<div class="entry-content"><?php echo apply_filters("the_content",$archive_post->post_content);?></div>