EMDR treatment generates a certain amount of 'momentum' to your thinking and conscious awareness. In other words the treatment does not just stop immediately after your session.
During your eye movement session a lot of memories may come to mind and people find that after the session they may think about these memories. Your therapist will work with you to ensure that you reach a calm place before leaving the session.

It is recommended that you do not do anything too stressful straight after your EMDR session, such as write an exam. You may feel quite tired.
Some people report that after the session they seem to recall more aspects of the events that they hadn't thought about for a while.

Some report that they dream more. Everybody is different so keep a note of your experience after the session and discuss this with your therapist.
As the distress decreases with EMDR, people report feeling a relief. At the end of EMDR therapy, many people report feeling no distress at all when recalling a distressing event.