You can display product review ratings on your collection pages underneath the product.
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You will add code to the collection page once and then add divs to each category listing so the star rating and review count appear below each product. You can find this code under Setup > Category Code. The code below will be loaded on the page one time.

Please note the default behavior is that if no reviews are found no star containers will be shown. If you would like empty stars to show, please reach out to the support team.

Category code does not have schema. Putting schema into your category page code hurts your SEO. It takes the unique thing that only exists in one place on the internet and puts it in a thousand places on the internet, diluting the unique nature of that code.