You have to be connected to the KAUST network, then visit accessnyt and search for your school name "King Abdullah University of Science and Technology – Thuwal, Saudi Arabia". Once you are redirected to the login page, then log in using your KAUST email.
Once this has been activated, you will have access to NYTimes.com for 364 days. Upon expiry next year, you will simply need to follow the same steps here: https://library.kaust.edu.sa/ld.php?content_id=54185942.