Looking at all the trackers I have bookmarked I'm not seeing much of an indication of this. Yes, confirmed cases seem to be up in the last week, but that seems to track with increased testing (a good thing). The rate of positives is showing a decline over the same time period.
More indicative of an outbreak would be increased hospitalizations or deaths. Hospital bed usage has been at the same level since mid April, and deaths have been at a steady 1 to 3 per day since the end of April.
Sources:
https://coronavirus.1point3acres.com/en/test?state=NE
https://covid19.healthdata.org/united-states-of-america/nebr...