  The realization of center and chiral symmetries in $\mathcal{N}=1$ super
Yang-Mills theory (SYM) is investigated on a four-dimensional Euclidean lattice
by means of Monte Carlo methods. At zero temperature this theory is expected to
confine external fundamental charges and to have a non-vanishing gaugino
condensate, which breaks the non-anomalous Z$_{2\textrm{N}_{c}}$ chiral
symmetry. In previous studies at finite temperatures, the phase transitions
corresponding to deconfinement and chiral restoration were observed to occur at
roughly the same critical temperature for SU(2) gauge group. We find further
evidences for this observation from new measurements at smaller lattice
spacings using the fermion gradient flow, and we discuss the agreement of our
findings with conjectures from superstring theory. The implementation of the
gradient flow technique allows us also to estimate, for the first time, the
condensate at zero temperatures and zero gaugino mass with Wilson fermions.
