At first blood draw do they test for pregnancy?

Cici • Mama and Etsy shop owner! My etsy shop is SerenadeBaby
I need to have my pregnancy confirmed and i didn't know what they were testing for at my first blood draw. I need insurance and I'm going to apply for just pregnancy Medicaid, but I need confirmation of the pregnant by a doctor. For my first doctors appointment apparently I need Medicaid :/ so I'm kind of stuck in a pickle here. Did they test for pregnancy during the blood draw when you had yours done? (Blood test)