There is a name for "watching a wildlife documentary but with people". Its called slice of life, and you may have read a comic or seen an anime in this genre.
We also call it reality(Read-Not actually reality) tv. Where they gather the stupidest that society has to offer and put them on television in place of programs that don't suck.
Slice of life is different than narrating every single movement a character makes. In a way, this would be better without dialogue, but I'm not sure if it would work.