How can I optimize my website with this new Google snippet fuctionality?

I think you mean FAQ Schema: https://developers.google.com/search/docs/data-types/faqpage

1. Start with Keyword Research
2. Identify long-tail keywords which are question type queries
3. Also look at "People also ask" box in the SERP
4. Write content in your website answering these questions
5. Create tables and include attractive images whenever necessary
6. Strive to rank on the first page because the top 10 result has a good opportunity to list in the featured snippet

1. Do keyword research and aim for question-type search queries.
2. Look at the results in the “People also ask” box.
3. Strive to rank on the first page of Google search results.