A good way to begin learning Biblical Hebrew is to learn the Hebrew alphabet. The Ancient Hebrew Research Center (AHRC) has 12 online lessons. The lessons begin with an introduction, which not only explain the letters and how to read them, but also contain audio clips to help you pronounce the letters correctly. The lessons then gradually build upon each other, from writing to reading, until by the last few lessons, you are able to read passages from the book of Genesis completely in ancient Hebrew.
The Hebrew University of Jerusalem also offers a completely interactive, online course in the Hebrew alphabet for free. The site uses animation to not only show you the letters of the alphabet but also how to pronounce and write each letter. If you need more information, buttons on the left provide explanation and demonstration. You will need Macromedia Flash in order to use the program.
If you need more interactive lessons to study in your spare time, Hebrew World offers an interactive CD-ROM in both modern and Biblical Hebrew. The Hebrew World CD features lessons in reading, writing, time, names and numbers, as well as a "Talking Bible" to help you with pronunciation and listening. There are also quizzes and tests to measure your comprehension and scenes of Israel for context and culture. Hebrew World is compatible with all Windows, but only Mac OS 7 through 9.
Another choice in Biblical Hebrew software is the Windows program Hebrew Tutor. Hebrew Tutor offers lessons in reading, writing, vocabulary and grammar, as well as games and quizzes. Hebrew Tutor essentially packs in all the information you would get from an entire semester studying college-level Hebrew into one software package.
If you need more direction in your studies in ancient Hebrew, you can enlist the services of an online tutor. Classical Hebrew.Com offers real Israeli teachers so that you can study Biblical Hebrew with the help of fluent tutors right from the comfort of your home. You can register for a trial lesson before purchasing a whole course so that you can be sure it's right for you. Classical Hebrew offers courses from beginner to advanced levels.