Can new website get page 1 google? 2-3 month?

You should search the forums for similar topics before posting and look through them - and if you don’t see any good answers, maybe try and contribute or ask more questions!

Here are just a few similarly themed questions. If everyone would stop asking separate ones, but contribute to a single quality topic, it might be easier for people to find what they are looking for.

http://www.sitepoint.com/community/t/how-to-increase-traffic-without-blog-seo/202949