I'm not an expert nor have I even watched curling but here's what I found after searching:
The official Olympics page
on curling states:
"At the Olympic Winter Games, curling consists of two events: a women's tournament and a men's tournament. Each tournament starts with 10 curling teams. Two teams play against each other at a time. The game is played on ice, and the two teams take turns pushing 19.1-kilogram stones towards a series of concentric rings or circles. The object is to get the stones as close to the centre of the rings as possible.
One game consists of 10 "ends" (similar to innings in baseball). During each end, each four-person team "throws" (in fact, slides along the ice) eight stones - two stones per person and 16 altogether. Team members sweep the ice clean in front of each stone to control the stone's direction, known as its "curl," and the stone's speed. The team with the most points - more stones closer to the centre of the rings - at the conclusion of 10 ends, is the winner."
Here's a short history of curling in the Olympics
which explains how it was added as an Olympic sport.
Hmmm, now I might actually watch it...