The total solar eclipse will happen on August 21st, 2017. If you are in a proper location somewhere in Nebraska, you will be able to see it.
The eclipse will travel diagonally across the state from near Mitchell in the panhandle to Falls City in the Southeast corner of the state near Missouri.
Find the map here:
Hastings, Beatrice or Grand Island may be great places to view the event. Get some other great info here:
This video explains (in terms we can understand) why this total solar eclipse is such a big event.