Reading a pump curve
A pump curve shows what the pump can do. The system curve shows what your pipework asks for. The pump runs where the two cross.
The axes
Flow runs along the bottom, head up the side. Head is the height in metres the pump could lift water, which is a cleaner way to talk about pressure because it does not change with the liquid's density.
Most curves carry three more lines on the same flow scale: efficiency, shaft power and NPSH required.
Where the pump will run
Your system has its own curve: static lift plus friction, which grows roughly with the square of the flow. The pump settles where its curve meets the system curve. That is the operating point, and it is only the duty point if both curves are right.
Stay near the best efficiency point
Every curve has a best efficiency point. Running far to its left or right raises vibration, bearing load and seal wear as well as energy use. As a rule of thumb, aim for roughly 70 to 120 % of the best-efficiency flow.
From the works: Several curves for one pump usually mean several impeller diameters. Trimming the impeller to the duty is cheaper to run than throttling a valve.