If you see in your logs that GoogleBot has picked up your robots.txt then there is a good chance Google has at least hit your home page as well.
It doesn't mean your home page will appear in Google's index (most likely it will), but, it certainly doesn't mean the entire site will.
You have to play the same game we all play!
We all look at our logs, we look at how many pages Google, (or any other SE visits) and then we look at how they indexed them (if at all).
Don't expect immediate change, it can take anywhere from 2 days to several weeks.
There are commands you can use on each SE to determine which pages have been indexed.
For Google "site:mydomain.com" will help you find those pages indexed.
The more links to your site (& quality links), the more times GoogleBot will visit you, therefore the better the chance you have of getting the whole site indexed quickly :)