I do not fully understand what do you mean by saying display the autocorrelation matrix. I think that you should want to refer to this results and use them in your analysis.
Dynare has stored the autocorrelation matrix in oo_.autocorr struct. This struct usually has 5 cells which corresponds to 5 periods autocorrelation and cross corrleation. oo_.autocorr{1,i}(k,l) is equal to the correlation between variable k and variable l, where k, l represents the declaration order of the correspondent endgoneous variable. For more details, see Dynare reference manual, Variable Index section to find oo_.autocorr.