In an even game white gets 6.5 extra points to compensate black's right to start the game. If black player is less skilled than white, a handicap can be used to make the game interesting. Black player may get 2 to 9 handicap stones at the start of the game. In a handicap game white gets 0.5 extra points (komi).
Capture-go is a variant of go. In capture-go the goal is to capture opponents stone(s). Capture Go is easier to learn, but still very challenging game.
This game has ended. White has a komi of 6.5 points. Neither player has captured stones. Sizes of different areas in board are shown. Black has 18 points. White has 23.5 points (17 in board and 6.5 komi). So white wins 5.5 points.
Black stones are not same string of stones. But black can always connect the stones, no matter what white plays. This kind of connecting is extremely common in games.