I think the minimun you could possibly keep a heatlhy violet goby in long term is a 75 gal, and that's only if it doesn't reach its potential length, which is over 24". Don't think that can't happen either. Aqualandpetsplus has pictures of one that is over 2 feet long after a few years. So, you could start out with something small, like a 75 gal, but be sure you can upgrade to something much larger to accomodate the fish's growth.
No, you can't keep them in freshwater. Sometimes problems develop very quickly, like what appears to be excess slime and deadly red sores or tumors that spread like cancer. Most of the time though, it seems to take years for the freshwater to kill the fish.
Don't use aquarium salt. Besides the fact that it doesn't actually make brackish water, it's just overpriced salt. Use artificial marine mix like Instant Ocean and get a hydrometer or refractometer to measure the specific gravity of the water. PH isn't want you should be worried about, although they are supposed to do better at a higher PH.