Q: How can I sync photos from my Iphone5 to my Ipad Mini???  Thanks!

Sign into the same iCloud account on both devices in Settings>iCloud and turn on photo stream.  After that new photos added to camera roll on either device will be added to photo stream when the camera app is closed, it's connected to wifi and has at least 20% battery life remaining.

If you want to stream older photos from your phone to your iPad Mini, add them to a shared stream and invite yourself as a subscriber, as explained here: http://help.apple.com/icloud/#/mmc0cd7e99.