I got Paid Family Leave and the document I received is a 1099-MISC. is this the same as a 1099-G?

No, it's not the same document however you can report the paid family leave income easily.  Do not report it as self employment income.

1. Under the Wages & Income  (or Personal Income tab) >  scroll Other Common Income > Income from form 1099-MISC.
2. Then click YES to indicate you have a 1099-MISC 
3. Enter the 1099-MISC exactly as printed, and then Continue
4. Enter paid family leave
5. Select None of these apply, then Continue
6. Select No, it didn’t involve work….. and Continue
7. Select ONLY the tax year for which this specific 1099-MISC was issued.
8. Do not select the year that you received the 1099. Select the year for which the 1099-MISC was issued. Select no other year.
9. Select No, it didn’t involve an intent to earn money, then Continue
10. Select NO, then Continue
11. Click the DONE button > See the image below.

This will complete the entry and you can continue to work on your tax return.