Does Google index dynamic pages?

Yes. Google indexes dynamic pages (like asp, php)
However, these pages can cause problems for Google crawler and may be ignored. If you find out that your dinamic pages are being ignored, try to consider creating static copies of respected pages for Google crawler. And dont forget to include in robots.txt file that disallows the respected dynamic pages to ensure no ducplicate content.

In addition, you might consider submitting a detailed Sitemap of your pages using the on Google webmaster tools. If you find that creating sitemap is hard, try some free service sitemap generator. For example sitemapals.com