Yeah my pergola poly covers the gutters too. I got up on the roof and no way I could clear it out by hand there.
I have one of those dumb ****ing pergolas that is raised back into the gutters but for some reason it never gets blocked. But the water always turns under the poly but not always into the gutter.
I also have those overflow slits in the gutters which means any decent downpour they waterfall everywhere which doesn't help either