The short answer is yes, it is easy and will restore your app data.
The process is simple. Open iTunes, then check for any updates from the Help menu in the menu bar at the top. Install any that are found.
Plug in your phone and look for it's little icon below the menu bar. Click on it and the options window should open on the right side of the screen in a panel.
Near the center of that panel will be a button that says "Back Up Now". Press that and it will copy your apps with data to a file.
When it is finished, you should see another few buttons above the backup button that says "Restore Phone".
Press "Restore Phone" and you will be given options I believe to restore from backup or as a new phone. Choose new phone.
Once that finishes, you can then apply your previous backup from the "Restore Backup" button.
All your contacts, texts, apps, etc. will be restored to their original state. You'll probably need to put your email passwords back in again, and your fingerprints, new password, etc. since the security stuff doesn't back up for obvious reasons.
Any other questions?