Translation:She scored the first goal and the first point.
American Football awards 3 points for a field goal. Basketball also has field goals according to wikipedia. In both of these sports, if the first score in the game comes from a field goal, then the scorer has scored both the first goal and the first point. In Soccer, teams are awarded points for scoring more goals than their opponents. At a stretch, you could say that if a team wins 1-0 in the first game of the season, the goal-scorer scored the first goal and the first point.
To be fair, in Gaelic football and hurling, it's usually cúilín, rather than pointe, which makes it clearer that it's a diminutive goal. And while a goal is worth 3 points, you need to score twice to score the first goal and the first point.
Gaelic football and Hurling award a point for sending the ball over the bar, but between the uprights, and a goal for sending the ball under the bar. It is very unusual for the first goal to be scored before the first point in a Hurling or Gaelic football match, as points can be hit from further out in the field, so they are generally easier to come by.
The score in this weeks All-Ireland Quarter Final replay was 4-19 to 0-9 (4 goals and 19 points to 9 points). Mayo already had 8 points on the board when the first goal was scored (and it wasn't scored by the player who scored the first point).