Unfortunately, we've been hacking away at this problem for quite some time now. (Leanring the Grammar of DNA). We're actually quite good at understanding the grammar. It's decoding the meaning of the individual elements that seems to be the hard part.
Biologists have been, for about 10 years now, very very good at decoding the grammar of raw DNA sequences. The crux of the problem is figuring out how exactly those gene products function in the body, what elements of their sequence/structure cause them to behave in such a way, and how much does each element contribute to the overall picture.
It's one thing to be able to put together a well-formed sentence, but another thing entirely to make that sentence communicate something worthwhile, as part of a greater whole.
Indeed, biologists are now trying to put together the "paragraphs" and "chapters" of life, rather than the sentences.