You need to do a field study. First, define your study area. Then, decide how you want to sample the area, for example using belt transects or random plots.
Species diversities is then determined using the Shannon-Weaver Diversity Index (H) : H = (Pi) (logn Pi), where Pi = ni/N, ni = number of individuals of species i, and N = total number of individuals.
You can also visit your local herbarium and look at voucher specimens :)