Six families of bets
Match winner
The simplest: who wins the match. Two possible outcomes; there are no draws in tennis.
Set score
The exact score in sets. In a best-of-three-sets match, four outcomes are possible: 2-0, 2-1, 1-2, 0-2.
Handicap
Games (or sets) are taken away from or added to a player, then you see who wins.
Total games
You bet on the number of games played in the whole match, over or under a line.
Set winner
Who wins a specific set, regardless of the rest of the match.
Live
Any of the bets above, during the match, with odds that change with every point.
The exact list of bets on offer depends on the operator, within the framework set by your country's gambling regulator (lesson 2.1).