Scoring is the part that sounds absurd until it does not. Zero is love, and points inside a game are called fifteen, thirty, forty, and then the game. Nobody at the club can tell you why those numbers; you say them for a week and then they stop being strange.
At forty-all the game does not end on the next point. That is deuce, and from there somebody must win two in a row: the first is advantage, the second is the game, and losing the point after advantage puts you back at deuce. A close game can turn over half a dozen times, which is where a lot of the sport's tension lives.
Games make a set: the first to six, but you must be two clear, so seven-five wins a set and six-five does not. At six-all a tiebreak decides it — a separate count to seven points, again needing two clear. Matches are commonly the best of three sets. Beyond that, formats genuinely differ: how a final set is decided has varied between competitions and has been changed more than once, some events use shortened or no-advantage scoring, and doubles is often played to a longer match tiebreak instead of a third set. If a format matters, ask what is being played before the match rather than during it.
Serving has its own small rules. You get two attempts; missing both is a double fault and the point. A serve that clips the net and still lands correctly is a let and is replayed, costing nothing. Standing on or over the line as you serve is a foot fault. You serve from alternating sides through a game, and the serve passes to the other side when the game ends.
General guidance, not a research finding.