This question has been answered by BobRay. See the first response.
<body class="whatever [[!addClass]]">
/* addClass snippet */
return $modx->user->hasSessionContext('web') ? 'YourAddedClass' : '';
$visibility = $modx->user->hasSessionContext('web') ? 'block' : 'hidden';
$css = '
.my_class {
display:
' . $visibility . ';
}';
$modx->regClientCSS($css);