On a topographic map, lines (actually curves; they're not usually straight) connect places that have the same elevation, or height above sea level. If one of these lines were painted on a hill and you walked along it, you would stay at the same elevation. You wouldn't go up or down, though you would probably turn right and left.
Some of the curves have numbers marked; these tell you the elevation of all places along that curve. The lines with numbers are usually darker or thicker than the other lines.
How can you tell what elevations the other curves have? Somewhere on the map is information about the contour interval. A "contour" is a curve on a surface, including the curves on our hill. Interval means the distance between two contours. In this case, it's the vertical distance between two contours. So if one curve as elevation 800 m, and the contour interval is 10 m, the next higher contour has elevation 810 m, and the next lower contour haion 810 m, and the next lower contour has elevation 790 m.
Here are some questions about steepness on topo maps to help you check your understanding.