The 15-year-old, ranked 71 in the world, won her maiden WTA title – the Linz Open – just days ago to become the youngest player to win a WTA title in 15 years.
Stephens powers past Gauff in All-American clash to reach third round
"I'm very happy with my performance," world number 66 Blinkova said post-match.
I didn't make a lot of mistakes and I had the right tactics. I was calm and I did my job well today.
"I was very focused. I know she's a great player and I knew she was coming off a WTA tournament win, so I was well prepared."
Blinkova will now face Tatjana Maria in the second round.
"I'll definitely remember this moment for the rest of my life" - Coco Gauff on her first WTA title
Top seed Barty beats Blinkova to reach third round in style
French Open women
Impressive Krejcikova beats Gauff to reach semi-finals