biblatex uses a different style format (
.lbx) than BibTeX (
.bst). That means you cannot use your
.bst files (BibTeX styles/
\bibliographystyles) together with
biblatex (or Biber, for that matter).
Note also that you can't use your
.bst files with Biber. While Biber is a replacement for BibTeX when used for
biblatex, it can not deal with
.bst files at all and so would be of no use as a replacement for BibTeX in the classic BibTeX bibliography set-up.
As far as I'm aware there is no "converter" for
.cbx, and it is very unlikely that someone will actually create such a converter. Joseph suggests in the comment that this is impossible.
As a general rule: If you have to use a certain
.bst file (because you institution requires you to do so, your publisher insists on a certain template etc.) it is best to go with BibTeX and the exact setup recommended in the guidelines.
If you just happen to like a particular
.bst file, you can check first if someone has created a
biblatex style for it (a list of styles can be found here), if that is not the case, you can try and create the style yourself.
To implement a bibliography style yourself, first choose an appropriate basis for your style, find the standard
biblatex style that comes closest to your intended style (as a rule of thumb the standard styles are easier to modify than heavily customised styles like
biblatex-apa, these only lends themselves to be used as a basis if the changes needed are miniscule).
According to this, that would probably
numeric in your case.
Then you go on to modify the style to your needs. A started is Guidelines for customizing biblatex styles, but there are much more questions about all kinds of customisations on this site.