The curbi parental control system can only see which sites your child is visiting, not the actual content of their visit. 

For example, curbi can see that your child spent 50 minutes on YouTube, but can't tell you what they watched. 

With Facebook, curbi can tell how long your child was on Facebook but can't see any of their posts or interactions.

On Android, curbi can also see exactly how long any app was used for.  This is not available on Apple devices.