Regardless of the answer, I have plans to learn it simply out of curiosity. I'm just not yet convinced that there are any practical benefits to using Julia over the other languages.
However, in fields dealing with larger datasets (e.g. genetics, astrophysics, ...), Python and R are real bottlenecks in data processing pipelines, and are thus often replaced by programs in C/C++/Java/etc. Having a language with the expressiveness and dynamism of Julia on the one hand, and performances in the same order of magnitude than C++ in the other hand is a huge plus.
In Bioinformatics, not at all. Or at least in no direct way that I'm aware of. Sure, R packages indirectly call upon Fortran libraries (LAPACK et al.), but user facing programs are mostly, from my experience, written in C, C++, Java, Python & Perl.