Soldering on both sides seems a little extreme if the board is SUPPOSED to have plated-through holes. Use a DMM set on the low resistance/beep-on-short-circuit mode, and put the leads on opposite pads of each hole to check for conductivity. I'd think you could check the whole board that way a lot faster than soldering both sides, and you'd know of any problems.
So I looked, and presuming this is the thing, the board has silk-screened component side, so it's surely plated through. If you're repairing (as some posts seem to imply) rather than building new (as I presumed in the previous paragraph), that's a different matter (and not nearly as many places to solder on both sides).
http://www.audiomaintenance.com/acatalog/aml-17-020_extended_info.html