I have read somewhere that advances in technology are usually distributed, relatively speaking, in a more even courve. It's usually not like in Sci-Fi movies, where alien races invented FTL-travel, zipping trough galaxies, but can't make a gun that hits anything ... or simply killing earth with pathogens, chemical weapons or simply, mass drivers. Throwing rocks at earth of the size of small towns would be more devastating than any conventional weapon, and for a race that advanced, this should be rather easy.
As far as technological evolution goes. See the Manhattan project or the Space Race as example. Both the nuclear bomb and the moon landing are pivotal achievements, but they lead to thousands of brake troughs in engineering. So yeah, if they achieved teleportation, it would be fair to assume that it also pushed many different, maybe even on the first sight unrelated areas.
The computers used for teleportation alone, which would have to do a tremendous amount of calculation in a short time, would push the research and engineering in all sorts of fields. Like material science, the construction of nano tubes, new superconducting materials at room temperature and many more really freaky materials, based on principles known from quantum physics. All of this would become eventually feasible and possible to simulate easily with all its effects.
It took them I think 20 years in the real world, to figure out the exact flow of the magnetic field in the most advanced fusion reactor we have today, to keep the super heated plasma in controll. And will still take some 40-50 years before it might work correctly. Imagine if you could do such calculations in like a few minutes, or seconds even. This is the kind of complexity we are talking about when we are looking at teleportation of matter.