What do you think of various courses? I still have some interest in it.
My second year teacher told me about the local Hebrew College, and the next summer I signed up for their Ulpan -- based on the Israeli method developed for all the refugees after WW II -- speaking and writing right from the beginning, no vowel points.
After a couple of years of Ulpan, I took a linguistics course in the college -- taught in modern Hebrew, but with an emphasis on grammar: the vowel points, changes in form in various declensions and such.
I think the most fun way to start is with an Ulpan-style course. It seems like the easiest way to get your feet wet, what with the alphabet, the right-to-left reading and all!
Hebrew wasn't a spoken language for about 2,000 years, so it didn't undergo the changes a living language would have. Thus, you can read reams of Biblical Hebrew from a study of modern Hebrew. Some forms are no longer used; some are still used, but are definitely "literary." Some no one quite knows what they are!
I hope you find something appealing -- and I hope you love it as much as I do! :)