look in your mdl_log table. Use the mdl_user table to find the numerical user ID for that user. I think (we haven't had moodle for a few years, and the server is in isolation as it breaks cyber essentials compliance)
Yes, it does. They are in the logs in the Moodle database and you can view them in the Admin interface in Moodle, as the documentation shows. If you have direct access to the database to make reports, you will find several reports to help you out with querying the logs in the Ad-hoc contributed reports page.
Whether such tracking is also done at the web server level will depend on how you set up your system, but that will be outside of Moodle.