I've got the Hebrew alphabet (actually, the Aleph-Bet) down now, along with the vowel points and am able to read and pronounce Hebrew words. My Hebrew vocabulary is growing and so is my understanding. I am also learning about the language. There are plenty of tools and resources available online and I am soaking up as much as I can as fast as I can (which, I realize, actually says nothing about how fast and how much I can soak it all up). I am exploring the language and having fun.
There is some fascinating material at the Center for Biblical Hebrew, with numerous videos, articles and other resources, as well as some interesting music — the letters of Hebrew texts translated as musical notes.
From there, I picked up a few links to some fun learning tools. One is Hebrew for Me, which has some interactive gadgets to help me learn Hebrew words and numbers. Another is Hebrew Keyboard Tutor, to help me learn the placement of Hebrew letters on the Qwerty keyboard.