Google’s little spiders crawl the internet, assessing all content and will index your site based on a set of factors. In fact, there are many factors that are taken into consideration by Google when indexing and ranking sites. Factors such as industry, the age of your website and the search engine optimisation (SEO) features are among them. So if your site is brand new, it can often take a few months to start ranking for keywords.
You definitely will be listed on Google in time. A higher ranking takes time and constant effort.