It may just be you ... or the App Store.
So, try these three things in order (seeing if you can access the App Store after each step).
(1) Close the App Store app out completely. Do so by double tapping the Home button (or swiping up with 4/5 fingers if you've got multi-gestures enabled). Locate the App Store icon; press and hold it until it starts to wiggle. Then, press the red minus sign in the upper left side of the icon. Tap the screen to close the multi-tasking bar and then go back to the App Store to see if it works. If not, then
(2) Restart the iPad: Hold down the power button until the power off slider appears. Slide it off. When the iPad finishes shutting down, hold down the power button again until the Apple logo appears. Then, when your home screen appears, go to the App Store. If that doesn't help,
(3) Reset the iPad: Hold both the power and home buttons until the screen goes dark and the Apple logo then appears (the slide to unlock screen may or may not appear). Once the logo appears, release the buttons. After a time, your homescreen will appear. Please note that it may take some time for the Apple logo to appear or for your homescreen to appear (or both). This is normal. Eventually, the homescreen will appear. Then, find the App Store icon and try yet again.
If any of this works, yay! If not, give it a little time before you access the store again. Sometimes, their servers get hammered pretty hard and you just can't connect.
Good luck and do let us know how you get on.
Marilyn