It is very accessible. After having some basic knowledge, there are more complete grammars and dictionaries.
The reason for learning an ancient language is reading the original texts. There is no need to become an expert, because there are bilingual editions for most ancient texts.
In my experience, no matter how good the translator is, you can find much more interesting information in the original text, but using a bilingual edition spares you 99% of the time you would have needed to read unaided when that is not your base profession.
For Akkadian, the best text for beginners is the bilingual edition of the code of laws of Hammurabi, which is very clear and easy to read (There is a better modern edition by M. E. J. Richardson, "Hammurabi's Laws", but also an 1904 edition at archive.org, "The Code of Hammurabi").
After that, the bilingual edition of Gilgamesh is recommended, with both the Old Babylonian version and with the later versions.
Unfortunately, the bilingual edition of Gilgamesh (A. R. George, "The Babylonian Gilgamesh Epic" in 2 volumes) is quite expensive (though there are pirated copies on the Web).