Why do I constantly get the msg...Safari could not open the page because the server stopped responding using a Verizon 4g lte

You lost your internet connection.

Try some basic troubleshooting:

(A) Try reset iPad

Hold down the Sleep/Wake button and the Home button at the same time for at least ten seconds, until the Apple logo appears

(B) Try reset all settings

Settings>General>Reset>Reset All Settings

If this is just happening today - how is the weather in your area?

Just like the real highway the information highway can have problems caused by the weather.

Not true