Yes everyone pays this fee. When you get your Olivia documents they call it an entry fee. You pay at the Punta Cana airport when you arrive.
From Olivia documents:
Upon arrival at the Punta Cana airport, you will be required to pay
an entry fee of $10 USD per person. We encourage you to have exact change upon arrival. You
will receive a receipt for the transaction that you will be required to present at Punta Cana