My mother often won't let me watch TV.

Literal

Mother [topic-は] me [to-に] TV [object-を] watch-[causative-させ]-[benefactive-てくれない] thing [subject-が] many

見させてくれない = 'won't let me watch' — causative させる + てくれない (negative benefactive). ことが多い = 'it is often the case that.' A layered construction: causative + benefactive + frequency expression.