A wide variety of ways to do this.
First I suggest you sign up for Google Webmaster tools (free) and verify your site (directions are in the webmaster tools) and also consider signing up for Google analytic (also free).
Analytics will help you "see" who is visiting your site and how they are finding it, via searches, direct keying in of the URL or via links, etc.
Also where they are from, how many per day, etc.
Have all your friends/relatives/acquaintances visit the site on a regular basis
Promote your site (I list my Blogs in part of my email signature for every email I send out!)
Link to other similar sites and ask them to reciprocate it will help draw trafficIf you have a site that sells products, etc.