Yes, you'll need to be calculating your self-employment tax to be submitted along with your quarterly estimated tax payments.
The IRS publication 2020 Form 1040-ES will give you all the info you need. You'll see a worksheet on page 8 for calculating your estimated taxes. But before that, on page 6, see the separate worksheet for self-employment taxes. Once you've completed these worksheets, you should have the total you'll need to submit quarterly. I'm linking the publication below.
2020 Form 1040-ES (irs.gov)
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