Not true. The weak force has a finite range, while the electromagnetic and gravitational forces have an infinite range. This is due to the fact that the photon and graviton are massless, while the force exchange particles of the weak force are massive. So it can't be a 1/r^2 law, and I doubt that it is even approximately, especially since at the range where the force exists, you can't use the concept of a classical field there.
As well, ultimately it's incorrect. Coloumb's Law (electrostatic inverse square law) is only valid for stationary charges. In reality you have to account for time retardation, excluding the relativistic effects that will happen if a charged particle moves. (It's called magnetism)

As well, classically, the laws of electromagnetism are linear, while gravity (General relativity) is not. So ultimately, while gravity and electromagnetism seem similar at first, (due to the fact that their force carrier particles are massless) they are quite different.
This isn't including spontaneous symmetry breaking, in which there is pretty much is solid ground that electromagnetism and the weak interaction are part of the same unified interaction, called the electroweak. And they'd unite with the strong interaction before gravity.