Start With a Safety Walk-Around
Unlike a glove on a shelf, a bicycle may carry you down a hill, so safety comes before shine. Stand the bike in good light and check the frame for cracks, especially near welds and lugs, around the bottom bracket and where the fork meets the steerer. Squeeze the brakes, spin each wheel and watch for wobbles, and look at the tires for cracking on the sidewalls.
Write a simple list: frame, wheels, tires, brakes, chain, bearings, saddle. That list is your lesson plan. Note the maker too. A Schwinn Varsity, a Raleigh roadster with a Sturmey-Archer three-speed hub or a 1970s Peugeot each have quirks worth searching for once you know the name.