Tutoring is direct, one-on-one instruction, typically to supplement instruction.
Coaching is much more like full-time teaching, though the methods differ significantly. A coach creates a personalized learning plan and guides the student through the entire curriculum, whether individually or in a group of peers. Coaching can consist of reading, writing, presenting, Socratic discussions, eLearning, and project-based assignments. Very rarely do coaches lecture or give direct instruction like teachers do. Coaching encourages much greater agency, pushes students to become self-directed, and develops time and task management skills at an early age.