How long exactly does it usually take before a site starts getting organic traffic?

[r_desai]

Have you checked that your website is indexed or not?
if it is indexed,
two weeks is too early to look for organic traffic.
It takes time to be on the #1 page.

have you start building links or just done on-page?

Well some of its pages are indexed in the search engines if that you are asking. Almost 17 our of 30 pages are indexed I can see them in the results.