Disbanded? Hardly. It's alive and well, it just changed its name to Federalnaya Sluzhba Bezopasnosti (FSB) from Komitet Gosudartvennoi Bezopastnosti (KGB). HQ is the exact same building (Lubyanka), which by the way is the tallest building in Moscow (because you can see Siberia from the basement). It has all the same people working for it that worked for the KGB.
However, they are probably not the group in the government that would be reading your email. That group is the Russian Federal Service for Mass Media, Telecommunications and the Protection of Cultural Heritage (Rosokhrankultura).