Yes, without any doubt.
There is an ocean of content online and so many risks too. Until they reach a certain age, children do not realize the cruel nature of consequences to their seemingly innocent activities on the internet.
Here are the reasons to do it:-
- Be sure they are not watching inappropriate websites, socials, videos
- Preventing from cyberbullying/safeguard their reputation
- Protecting & avoiding kids for sharing personal information
- Protecting them against theft
- From Online Predators, etc.
I use computer monitoring software for parents not only to monitor their online activities but also to restrict what they can see online, prevent inappropriate apps installations, they need parents' approval before installing one and to limit their screen time.