Ok, now
things are getting interesting.
The hype is a little misleading, as nothing has been proven yet, but a major test for Einstein's theory of General Relativity has not ever been able to be proven ... until now. In short, by monitoring these two stars for a few years, astronomers will be able to a) measure the mass of the black hole at the galactic center, and b) measure the deviations of both emitted light and from the elliptical orbits of both stars at the point of closest approach.
In a word, awesome.