The information stored into the database by Indexer, is then called upon by the Query Processor when you enter your search string in Google. Using what Indexer provides it with, the Query Proccesor then displays your results. The Query Processor is made up of different parts to assist you in finding the best results for your search string.
There is of course the user interface where you enter the search string you want. Then, there's the "engine" that searches through the results to provide you with the ones that they think you will find useful, and naturally, the results formatter that presents you with the results in a user-friendly manner.
The Page Rank Metric (detailed in part two of this series) is actually in the process of being patented by Google, so there will be secrets, but we do know that several things go into the calculation of which pages show up where on the results page.
The results formatter handles things like spelling errors, and is constantly tweaked to improve efficiency and performance.