This claim is true. Unemployment rates did rise due to the COVID-19 Pandemic.
Pew Research Center explains, "The Covid-19 outbreak and the economic downturn it engendered swelled the ranks of unemployed Americans by more than 14 million, from 6.2 million in February to 20.5 million in May 2020. As a result, the U.S. unemployment rate shot up from 3.8% in February...to 13.0% in May."
The Congressional Research Service corroborates, "The unemployment rate peaked at an unprecedented level, not seen since data collection started in 1948, in April 2020 (14.8%) before declining to a still elevated level in February 2021 (6.2%) relative to February 2020 (3.5%)."
The Congressional Research Service link also has graphs within it, if you are interested in seeing visuals with the data.
I would also recommend this link: https://cew.georgetown.edu/cew-reports/jobtracker/ from Georgetown University. It provides interactive data sets, where you can see unemployment based on different factors such as age, gender, and industry.
https://www.pewresearch.org/fact-tank/2020/06/11/unemployment-rose-higher-in-three-months-of-covid-19-than-it-did-in-two-years-of-the-great-recession/
https://crsreports.congress.gov/product/pdf/R/R46554/9
https://cew.georgetown.edu/cew-reports/jobtracker/