You could have points added to a score when the player overlaps another sprite. What you would want to do is create a text object and call it "ScoreText" and also create a new sprite. You might want to go to the sprite's properties and set the sprite initial visibility to "invisible". Once you have done that, add the events shown in the linked image.
Add global variable > Name: scoring, Type: Number, Initial value: 0
Player > Is overlapping Sprite
System > Trigger once while true
System > Add to Variable "scoring", Value 1 (or however many points)
Score > Set text > Text: scoring
Every time the player overlaps the sprite, points are added to the score. If you only want the points to be added once per game, add an action to the above event that destroys the sprite.
Hope that helps.