I am self employed but was out on maternity then covid hit and was on pandemic unemployment. I have no income or expenses for 2020. What turbo tax edition do I use?

If you do not have ANY business expenses to enter then you do not have to prepare a Schedule C.  You might get away with using a lower version of the software.   And...check into the free versions of software that become available in mid-January to see if you qualify to file for free

If you qualify to use it, there is another full-featured free version of the software:

Try Free File: 

You qualify if your income was $39,000 or less, or $72,000 or less if active duty military, or if you qualify for Earned Income Credit

https://ttlc.intuit.com/questions/1900583-what-is-turbotax-free-file-program

• https://ttlc.intuit.com/questions/2026912-how-do-i-switch-to-turbotax-free-file-program

Or—-Use this IRS site for other ways to file for free

https://apps.irs.gov/app/freeFile/