Gov. Sununu has made unemployment benefits available effective immediately Mar 17, 2020 in the wake of his recent order to limit restaurants and bars to conduct take-out/delivery/drive through only service. If you are affected by this temporary order that lasts until April 7, 2020 you will be able to collect.
See the governors statement HERE: https://www.governor.nh.gov/news-media/press-2020/20200316-covid-10-businesses.htm
UPDATE 1: Should you need to file for temporary unemployment due to a COVID-19 related business closing you can apply and file at www.nhes.nh.gov or contact them via phone at 603-271-7700. Please note that the system may be overwhelmed.