Type of Filter from pole-zero plot
Certainly, it is not one of the classical response types - but a mixture.
To desribe the response in words:

In your pn-diagram, the two real poles have larger pole frequecies than the zero frequency of the pair of zeros. From this it can be concluded that the frequency response has, in principle, a highpass-notch behaviour. However, because the zeros have a small real part the notch depth is finite. 

The corresponding transfer function contains a second-order polynominal in both, numerator and denominator. The pole Q is very low (Q&lt;0.5) and the zero-Q is rather high.