How soon Google is supposed to include new pages to search

There is no fixed time from when Google crawls a site to when it is available on the index. A few years ago it would have taken anywhere up to 6 weeks for content to be added due to Google rebuilding the main index in batches, now with the live updating it is meant to take longer but it could be added to the index any time from a few days to a few weeks after the site has been crawled. It depends on a large number of factors, many of which Google won't release as it classes them proprietary.

Once you submit your URL, you might need to wait some time for Google to process your request as well as crawl and index the page. Also, understand that we can't guarantee that Google will index all your changes as Google relies on a complex algorithm to update indexed materials.
- From Google (