If I want to do everything in MATLAB, I would add a branch from the output of the system to a To Workspace block. After that, although I have never used this function, you could do stepinfo (documentation here) and it should present you most of what you are looking for.
I prefer to do it manually, though. In the Scope, I would use Cursor Measurements and get the information on the amplitude and time that I need. If I remember correctly, the theory should cover the definition of rise time, time constant, etc.
