Thanks - I guessed as much - but I came from the Olympus EM5 and all you had to do with that was to install the software driver when you connected the usb cable between camera and PC. It would then fire up a program which automatically checks for the camera firmware and the lens firmware and then gives you an option to update - but whether there was an updated firmware or not, the program would always automatically check the firmware for you.
When I plug in the A6000, it just gives me an option to download and install PlayMemories, which I did, but all that software seems to do is to want to transfer files from your camera and PC to the PlayMemories repository - I can find no function within that program to update or even check firmware!
Any guesses how this works on an A6000?
Click on setting to check firmware version and match with sony official website will do