I think that your site still isn't Google Index for this reason when you search at Google you don't see your website.

You need to go Google Search Console & submit your website for index & also share your website in different social media for fast index.

Hope will soon this problem will solve.

First time you need to do Search Engine Optimization. Please follow blows steps:

1. Make sure you follow Google Webmaster Guideline.
2. Make sure your website has done properly On-page SEO (URL, Title, H1-H6 Tags, Content, Images, Alt tag, Anchor tags, Internal link etc.).
3. Off-Page SEO (Search Engine Submission, Local Citation, Directory Submission, Social Book Marking, Web 2, Online PR, Article Submission, Q & A, Forum Posting etc.
4. Continue provide Organic Content for targeted visitors.
5. Make Social Media Profile & share content at there.