I don't understand clearly your question ? Do you want to ask about a new site or a new post in your site ?
After 1 day GG index my site. But it also depends on about content and domain of your site... And you must have a patience if you have a lot of page in your site. Good luck !
If your content is highly relevant and comprises better amount of backlinks! then your site can index in shortest time of period
All Google related discussions can be posted in this forum. Other SEO related discussions that doesn't specify any search engine can be posted in the Search Engine Optimization forum.
Google search engine takes only one day to index your page. If your page is good, then you can find it in top places.
If it's taking a long time to get indexed, you can submit your site to google webmaster tools. If it's a wordpress site, make sure that search engines are not being blocked.
from my experience some sites were indexed within 24Hrs... some took more than a week... entirely depends upon the content
I Personally think it depends on the extension as well. My personal feeling is that "info, org and com" are indexed more quickly than domains with .. let say .. *.nl. I had a "info" name indexed with in a few days, "nl" names always takes weeks (with me) to be indexed. I use "site:www.domainname.extention" to test if there are any result at all.