Step 1. Install the software and log in your Apple iCould account
At first, download and install iPhone Data Recovery software in your computer. Then launch the program and choose "Recover from iCloud Backup File". When the window comes out as below, input your Apple ID and the password to sign in your Apple iCloud account.
Note: No need for you to worry about the Confidentiality of your iCloud account, because this program will NOT save any information of your iCloud account.
Step 2. Download and export your iCloud backup
After logging in, you will see the backup files of your iCloud account. Select the one that you want to recover by clicking "Download" button in the menu. Then in the pop-up window, choose the data and files that you want to restore to your iPhone, and download. When finishing download, click the same button to start extracting, and you'll see an interface as below.
Step 3. Preview and restore iPhone from iCloud backup
After scanning, you can preview the data in your iCloud backup, such as photos, music, contacts, messages, videos, notes, reminders, etc. Now you can select any data and files whatever you want to restore easily by ticking it.
When you have a try to do as the above three steps, congratulations, you may easily and conveniently succeed in restoring iPhone from iCloud!