I get the “haha” of this particular search getting reported on…but I think that this sort of surveillance is definitely stepping into creepy territory that will end up doing more harm than good.
There were definitely web searches I performed about topics back when I was younger that I would never want my parents to know. When you live in an oppressive household where you are taught never to think outside of the box or be anything your parents don’t want you to be, having the internet available is supposed to be a path to liberation.
If they want to set up filters that block certain results, fine. But tattling is just unethical, especially if the child does not know their search history is being monitored by their parents.