The goal and the one rule
Sudoku is a 9×9 grid split into nine 3×3 boxes. Fill every cell so that each row, each column, and each 3×3 box contains the digits 1–9 exactly once. That single non-repetition rule is the whole game — every technique below is just a faster way to apply it.
A proper Sudoku has exactly one solution and never requires guessing. If you find yourself wanting to guess, there is a logical move you haven’t spotted yet.