You can log all the requests on a network with the help of a packet capture driver and an application developed for such operations. Luckily, there are plenty to use but the most simple one is WireShark. The software is developed to capture all the traffic on a network. It displays packets, IPs, URLs, and basically everything that is passed on a network. The only requirements is that it needs to be connected on a network end, where all the computers get through.
Official website: https://www.wireshark.org/download.html
You can use the following documentation page to learn how to use the application: https://www.wireshark.org/docs/