The below code is mostly from Joomla's /includes/app.php but without the last line.
The last few lines then get information about the user and the user session.
<?php
define('_JEXEC', 1);
define('JPATH_BASE', __DIR__);
require_once JPATH_BASE . '/includes/defines.php';
require_once JPATH_BASE . '/includes/framework.php';
// Boot the DI container
$container = \Joomla\CMS\Factory::getContainer();
/*
* Alias the session service keys to the web session service as that is the primary session backend for this application
*
* In addition to aliasing "common" service keys, we also create aliases for the PHP classes to ensure autowiring objects
* is supported. This includes aliases for aliased class names, and the keys for aliased class names should be considered
* deprecated to be removed when the class name alias is removed as well.
*/
$container->alias('session.web', 'session.web.site')
->alias('session', 'session.web.site')
->alias('JSession', 'session.web.site')
->alias(\Joomla\CMS\Session\Session::class, 'session.web.site')
->alias(\Joomla\Session\Session::class, 'session.web.site')
->alias(\Joomla\Session\SessionInterface::class, 'session.web.site');
// Instantiate the application.
$app = $container->get(\Joomla\CMS\Application\SiteApplication::class);
// Set the application as global app
\Joomla\CMS\Factory::$application = $app;
$userInfo = \Joomla\CMS\Factory::getApplication()->getSession()->get('user');
$userSession = \Joomla\CMS\Factory::getApplication()->getSession();
Disclaimer: Most of the information in this post was derived from https://gist.github.com/PhilETaylor/0c36d87da0f2ad231b378b47c54cfb9b