Chances are that newly built website never recieve search traffic. This is because Google & other search engine normally index new website as from 6 months upwards.

But, there is an alternative way to make google index your site within 2 weeks instead of 6 months so that you start getting search engine traffic.

Doing both On-Page and Off-Page Optimization. On-Page Optimization (done within your site) first then next is Off-Page Optimization (done outside your site). These two should go together in order to create better results.