Baseball is played on a field called a "diamond." Picture a basic diamond shape; the point at the top is home plate, the point on the right-hand side is first base, the point at the bottom of the diamond is second base, and the left-hand point is third base. When a batter hits the ball, his objective is to run to as many bases (beginning with first) as he can before the players in the field catch the ball and "tag" him, or touch him with it. If the batter gets tagged by a player before he touches a base, he is "out." Once a team gets three "outs," they are sent out into the field and the other team comes up to bat.
Here is a drawing of a baseball diamond. Home plate is at the bottom of the picture, first base is to the right of it, etc.
I hope this made some sense!
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