Can the WiFi owner get notifications from the router of what I’m browsing on my personal devices?

So to preface this question I am not the most knowledgeable individual on the subject of WiFi or routers so this might be a silly question and I apologize in advance. So my roommate asked me today if I use any kind of AI program or websites. I told them that I use Chat GPT on occasion, but asked them why they asked me that. They said that they have our router set up so they can receive email notifications …

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