As you've just learned, making sure your site gets crawled and indexed is a prerequisite to showing up in the SERPs. If you already have a website, it might be a good idea to start off by seeing how many of your pages are in the index. This will yield some great insights into whether Google is crawling and finding all the pages you want it to, and none that you don’t. One way to check your indexed pages is "site:yourdomain.com", an advanced search operator. Head to Google and type "site:yourdomain.com" into the search bar. This will return results Google has in its index for the site specified:

Today, search engine results pages — often referred to as “SERPs” — are filled with both more advertising and more dynamic organic results formats (called “SERP features”) than we've ever seen before. Some examples of SERP features are featured snippets (or answer boxes), People Also Ask boxes, image carousels, etc. New SERP features continue to emerge, driven largely by what people are seeking.