Applescript result to Xcode (iOS)

I created and Applescript application, that gives me some numbers like a result.

I want to create and iOS Application that shows me this values, the idea is the iMac running this application every 20 minutes and with the iPad/iPhone connected at the same network the screen of the iOS device shows me this value.

I don't need a fancy things, only this number on the screen.

What kind of information, books, etc. i need to read to understand the sync between iOS and Mac?

Thanks in advance!