ipad screen appears to go to double tap to access anything
My ipad screen appears to go highlight icon then double tap the icon before it will open.
iPad (3rd gen) Wi-Fi + Cellular, iOS 7.0.3
Sounds like you have VoiceOver (one of the accessibility features) 'on'. Try triple-clicking the home button and see if that turns it off, and if it does you can then change what a triple-click does via Settings > General > Accessibility > Accessibility Shortcut.
If that doesn't turn it off then you can either turn it off directly on the iPad (you need to use a tap-to-select and then double-tap to activate/type process and 3 fingered scrolling) to go into Settings > General > Accessibility and turn VoiceOver 'off', or you can do it by connecting to your computer's iTunes : http://support.apple.com/kb/HT4064