  This paper gives further regularity properties of the evolution family
associated with a non-autonomous evolution equation
\begin{equation*}\label{Abstract equation} \dot u(t)+A(t)u(t)=f(t),\ \
t\in[0,T],\ \ u(0)=u_0, \end{equation*} where $A(t),\ t\in [0,T],$ arise from
non-autonomous sesquilinear forms $\mathfrak a(t,\cdot,\cdot)$ on a Hilbert
space $H$ with constant domain $V\subset H.$ Results on norm continuity,
compactness and results on the \textit{Gibbs} character of the evolution family
are established. The abstract results are applied to the Laplacian operator
with time dependent Robin boundary conditions.
