You can measure the period from the history graph: it is the time between two successive crests, troughs, or other matching parts on the wave. Alternatively, you can count the number of cycles $N$ that occur during a certain time $t$, and then $T=t/N$.
If you are given a snapshot graph and the wavespeed, you can measure the wavelength from the snapshot graph, and then use the formula $v={\lambda\over T}$.