G-Men is a recurring character who works as a Tokyo Youth Development Counselor. Her job involves inspecting comic shops to make sure adult merchandise is properly packed and separated from other stock—basically enforcing content regulations. The Uma no Hone team calls her "G-Men," though it's more of a label tied to her group of porn book agents than an actual name.
What's kind of funny is that in her downtime, G-Men is actually into pornographic books herself, with a particular weakness for BL content. So she's checking the very stuff she enjoys reading.
Content compiled by AnimeList.moe from publicly available sources.