Yes. PUA benefits are included in an individual's gross income for federal income tax purposes and are subject to federal income tax withholdings. An individual will receive a Form 1099-G to file with his or her income taxes.
However, The first $10,200 of unemployment payments are now tax-free for households with an annual income under $150,000.
TurboTax is updated for the unemployment exclusion on your Federal Tax Filing.... you can check the link below for information on your state.
How is my state taxing unemployment income?