My son's school lent him a laptop to access a particular website- which I believe we can't do anyway because somehow it requires an organizational live account. Can the school see what you are doing on their laptop when connected to your home WiFi? Assuming we don't care if the school surveils the use of this laptop. One risk is a keylogger or other potentially dodgy software that someone installed. Is there particular risks to the whole home Wifi network? It is in Japanese and my wife won't let my look too closely to understand what is installed.
I suspect the school is more technologically backward and never monitored what is done with the laptops. My worry is other people who used the laptop. My network is Win10 Fujitsu Computer, my father-in-law's laptop 2 years old, 2 Kindle Fire HD 8, the mother-in-law's Galaxy smartphone and our Wifi connected TV.
They don't use email for teacher communications at government schools in Japan. The website is the central government- it is only slightly more interesting than homework which consists just about only add and subtract numbers.