Anyone with access to the Wi-Fi router's admin panel can check your browsing history. It doesn't matter if it's at home, school, or public Wi-Fi zones. Most modern routers keep a log of connected devices, event timestamps, bandwidth used, and visited website URLs and/or IP addresses.
Does wireless router track browsing history?
Yes. The WiFi owner has access to the admin panel from the WiFi router, meaning they can see the browsing information performed on their WiFi network. In addition, routers see log information, including when and what you did on your computer.