Yes,
From simulator point of view they will run concurrently but u must look from the target device perspective and then see how it goes . Imagine ur real time environment that which all events are likely from power on to steady state. and how they are going to be scheduled and later must also cater for unlikely conditions where u may not realize but ur code may end up like unknown states and as u have the same sensitivity list for two processes try to combine them in one and u will see that the sequence would itself be sorted out. And in hierarchy when its sorted out for high level designer it trickles down to hard ware implementation level accordingly.
THX