This is the homepage for Dr. Ralph Klein of the Lutheran School of Theology in Chicago. Under his link to Biblical Studies, select Hebrew for some good links.
The entire Tanakh in Hebrew and English! Click on the book and then the chapter that you want to read. You can click on a tab to hear the passage read in Hebrew. So this site is great for practice.
This looks to be a great website. It includes a comic-book version of the Book of Jonah with Hebrew text that you can see and hear. Lots of other interesting links too.
This is the homepage of Dr. Ehud Ben Zvi of the University of Alberta in Canada. Click on the “Hebrew Bible” link. Then go to “Studying Biblical Hebrew” for a list of several links that should prove helpful.