Whether you learn Modern or Paleo Hebrew depends on your purpose in learning the language. If you want to carry on conversations in Hebrew, the Modern form would be best. A quick comparison would be to ask yourself which would you rather speak in the US today? Old English or Modern English? Same with Hebrew.
But, if your intent is to understand Scripture as the original author intended; learning the Paleo pictographic language will give you a much more functional perspective. You will need to acquire the mindset of an ancient Bedouin and search out how he would have understood the word from the world around him, his culture. It will take some work, but definitely worth the effort!