Here is a working accordion html file so just name it myPage.html
I've found some versions of jquery do not work with GAS even though they are on the compatibility list.
<html>
<head>
<link rel="stylesheet" href="http://ajax.googleapis.com/ajax/libs/jqueryui/1.8.18/themes/humanity/jquery-ui.css" type="text/css" />
<script src="http://ajax.googleapis.com/ajax/libs/jquery/1.7.2/jquery.min.js"></script>
<script src="http://ajax.googleapis.com/ajax/libs/jqueryui/1.8.18/jquery-ui.min.js"></script>
<script>
$(document).ready(function() {
$("#accordion").accordion({ collapsible: true, active: false });
$('.header-checkbox').click(
function(e){
e.stopPropagation();
}
);
});
</script>
</head>
<body style="font-size:62.5%;">
<div id="accordion">
<h3 id='example'>
<a href='#'>
<label><input class='header-checkbox' type='checkbox' />Title</label>
</a>
</h3>
<div>
<p>
Mauris mauris ante, blandit et, ultrices a, suscipit eget, quam. Integer
ut neque. Vivamus nisi metus, molestie vel, gravida in, condimentum sit
amet, nunc. Nam a nibh. Donec suscipit eros. Nam mi. Proin viverra leo ut
odio. Curabitur malesuada. Vestibulum a velit eu ante scelerisque vulputate.
</p>
</div>
<h3 id='example'>
<a href='#'>
<label><input class='header-checkbox' type='checkbox' />Title2</label>
</a>
</h3>
<div>
<p>
Mauris mauris ante, blandit et, ultrices a, suscipit eget, quam. Integer
ut neque. Vivamus nisi metus, molestie vel, gravida in, condimentum sit
amet, nunc. Nam a nibh. Donec suscipit eros. Nam mi. Proin viverra leo ut
odio. Curabitur malesuada. Vestibulum a velit eu ante scelerisque vulputate.
</p>
</div>
<h3 id='example'>
<a href='#'>
<label><input class='header-checkbox' type='checkbox' />Title3</label>
</a>
</h3>
<div>
<p>
Mauris mauris ante, blandit et, ultrices a, suscipit eget, quam. Integer
ut neque. Vivamus nisi metus, molestie vel, gravida in, condimentum sit
amet, nunc. Nam a nibh. Donec suscipit eros. Nam mi. Proin viverra leo ut
odio. Curabitur malesuada. Vestibulum a velit eu ante scelerisque vulputate.
</p>
</div>
</div>
</div>
</body>
</html>