Here is a Help page which will allow you to create a custom URL for applications. For Web Pages, e.g. www.mydomain.com, you will only see your domain name and not a reference to Google. For others, e.g. mail.mydomain.com, it will be an easily remembered URL for your domain users. The Help page will show an example for mail. For other applications, e.g. Web Pages, just click on the appropriate application on the Dashboard and look for a change URL. There will be a suggested subdomain, e.g. www. Some of the common subdomains are www, mail, calendar, start, and others.
http://www.google.com/support/a/bin/answer.py?hl=en&answer=53340