How to file unemployment 2020 when I am self employed?

You have not filed 2020 yet?  Yes you should have a 1099G for unemployment.  You file it and your self employment  and all your income on the same tax return.  Or if you filed 2020 you need to amend it to add the  unemployment.  Or did you mean 2021?

How to prepare a prior year return
https://ttlc.intuit.com/community/using-turbotax/help/how-do-i-prepare-a-prior-year-tax-return/00/25984

You can only buy the download for prior years. You have to buy a separate program for each year. They only sell the last 3 years. You need a full Windows or Mac computer to install it on. You can buy any version. All the Desktop programs have the same forms. You just get more help and guidance in the higher versions. Buy the download here
https://turbotax.intuit.com/personal-taxes/past-years-products