Valuable advice given here. Since it is a new website, keep on writing SEO'd articles - write one everyday. This will push you up, and you will be found.
Various factors affect your position. One of most important is competition of your site. More players in game, less chance and longer it takes. There are also other factors like quality of your site, relevancy, number and quality of incomming links, age, etc
if u want to ur web page on google seach then u work on page n off page in proper way then ur sites 2 -3 month ur result is found
Create new pages for long-tail keywords related to your primary keyword and then promote each page via Social Media, bookmarking sites and by creating links to not just the homepage but these individual pages as well.