Question
When I typed in my website/company name in google search it did not show up. Only when I specifically type the the domain name www.... then I can see my website.
Answer
The more unique your name (low competition), the easier it will be to pop up on the first google page.
Forget about your name, which is such an egocentric approach to google search; focus on owning (i.e. repeating) the terms people will search when they look for a product or service like the one you offer.