If you don’t mind the bio being full-width, I can show you what I did with mine. Here’s an example with my bio:
http://allindiewriters.com/author/jenn/
Here’s what I have in archive.php in the author archive section to do that:
<?php /* If this is an author archive */ } elseif (is_author()) { ?>
<?php $author = get_userdata( get_query_var('author') );?>
<h1><?php _e("Author:", "swiftframework"); ?> <?php echo $author->display_name;?></h1>
<div class="author-info-wrap clearfix">
<div class="author-avatar"><?php if(function_exists('get_avatar')) { echo get_avatar(get_the_author_meta('ID'), '75'); } ?></div>
<div class="post-info">
<div class="description"><?php echo get_the_author_meta('description'); ?></div>
</div></div>
You would need to fiddle with it a bit more or set up a separate author.php if you wanted it in-line with the rest of the content. In my case I wanted to highlight them a bit more rather than have them fit within the normal post width.
Hope that helps!