How to sync contacts in iphone 5 using icloud?

I have all backup of contacts in icloud.com, how do I sync it with my new iphone?

Step 1: Download and install Appandora iPhone Transfer on your computer.
Step 2: Connect your iPhone to computer with USB and launch Appandora iPhone Transfer.
Step 3: Click Information on the left panel, you will see the Contacts, Notes, Bookmarks and Messages of your iPhone. Click Contacts icon, then you will find those options: New, Remove, Backup, Recover, which enable you to backup contacts from iPhone to PC, transfer contacts to iPhone and add new contacts to your iPhone even delete unwanted contacts information freely and easily!
1) Click New, you can add new contacts from PC to your iOS devices.
2) Click Remove, you can delete any unwanted contacts information.
3) Click Backup, you can transfer contact from iPhone to PC for backup.
4) Click Recover, all your current iPhone contacts will be overwrited.