It sounds like more of a memory problem than GPU one. Browsers generally use lots of memory and videos are large files as well. That is why surfing the web can cause memory leak problems to become evident quicker.
If you ever happen to upgrade your RAM, the problems should go away. Of course if you already have 16gb or more then I am probably wrong.
Memory leak is the generic term. But where is the memory leaking. In a 3D application there is a lot of interplay between your computer memory and the videocard memory. Textures, models, animations, etc may have copies in both memories. A disk copy that gets cached by windows, a CPU copy in your code, a copy that gets passed to the GPU driver which may make another copy in CPU memory then push it out to the GPU.
In between doing all of that. You start surfing YouTube and create new drawing contexts and allocate more memory on the videocard. All of which is trying to draw to the same memory spaces and deal with Windows at the same time. GPU memory gets fragmented with bits of game here and youtube there....Its a miracle it ever works at all.
While sitting in the que COH2 is not allocating any new GPU memory. However once the match starts to load that is when people crash. When COH2 IS allocating GPU memory.
But I do not know for sure. Just an observation.
If I switch factions without a restart my chances go up for a bugsplat. Surf the web while in game chances go up.