Cannot google my website

Most likely no. If google has your sites URL in their results (for any search) then it means that you are indexed and being checked. The problem that you are haivng is that you have not dome enough SEO work for that key phrase to rank for it. Typing that in brings up over 16 million reuslts for me, so it will need some time, effort and inbound links to get up in the rankings. You don’t just get page 1 by putting up a website (even though I wish I could!!).