Currently (as of R2019a), SimBiology events cannot directly stop a simulation. I usually handle this sort of situation by post-processing simulation results that continue past the event of interest.
That said, there are 3 stop criteria: simulation stop time, maximum number of logs, and maximum (wall clock) simulation time. If you don't care about how long a simulation takes, you could use an event indirectly end the simulation by triggering the wall clock condition. For example, if you set the maximum wall clock time to 30 seconds and create an event that pauses for 30 seconds, then the simulation should stop after the event is triggered.
You also asked about export options. SimBiology supports export to SBML. You could also use the output from getequations as a starting point for converting your model to MATLAB code that can be used with ode15s or one of the other solvers in MATLAB.