I am a branch computer, and I surf the Internet through the server at headquarters. Can I browse the web or download on the extension, and can the host server see it?

The premise is that your host has installed any management software, such as PSP Terminator. If you install it, you can find it. If you want to download it, you may find the stream in one sentence.

The premise is that the server is equipped with software, and you can find out what you are surfing the Internet through other computers, but you can't see the webpage you are browsing, only know what webpage you have opened.