The newest iOS release comes with upgraded parental controls for the iPhone and iPad including controls to limit screen time, app viewing limits, content and privacy restrictions, prevent iTunes and app store purchases, adjust content ratings, restrict web search, restrict Siri web search, restrict game center, and more. These settings can be shared across devices (if your child has multiple iOS devices) or as a kid only setting to apply to a single device on the network.
To Set Parental Controls for Content & Privacy Restrictions:
Go to Settings and tap Screen Time.Tap Continue, then choose "This is My [Device]" or "This is My Child's [Device]."
If you're the parent or guardian of your device and want to prevent another family member from changing your settings, tap Use Screen Time Passcode to create a passcode. Then re-enter the passcode to confirm.If you're setting up Screen Time on your child's device, follow the prompts until you get to Parent Passcode and enter a passcode. Re-enter the passcode to confirm. Tap Content & Privacy Restrictions. If asked, enter your passcode, then turn on Content & Privacy.
Make sure to choose a passcode that's different from the passcode you use to unlock your device. To change or turn off the passcode on your child's device, tap Settings > Screen Time > [your child's name]. Then tap Change Screen Time Passcode or Turn Off Screen Time Passcode, and authenticate the change with Face ID, Touch ID, or your device passcode.
In the Screen Time view, you can see how much time your children are spending on their iPhone or iPad, what they spend the most time doing (Entertainment, Reading, Other), schedule time away from the screen, set app time limits, block content and add privacy restrictions.
For more information about adjusting specific parental controls, take a look at the Apple Support page here. Common Sense Media also has a detailed breakdown of parental controls for Apple iOS.