This is probably one of the most-asked questions we get on search engines. The response is not as clear-cut as most people would like it to be. Not all search engines are created equal. Not all search engines index submitted sites at the same speed.
Some engines go deeper into a site than others.
These factors all affect the answer to this question. A few of the major ones index fairly quickly, but most do not. We have no control over this process. Some will index you, some will not, some will accidentally drop you from their database to make room for new ones, some do not work properly during a search, etc. You must be aware that this is an evolving technology on the Internet and how we would like it to work, and the reality of how it does work, are two different things.