What will happen if I get another concussion in the same month? Do I lose lots of memory?

Not good. Repeat concussions can cause a disproportionate amount of brain injury if they occur close enough in time. If you suffer a concussion, do your very best to avoid activities which can lead to a repeat concussion.
Concussion. A second concussion in the same month is very worrisome. Secondary impact syndrome (sis) with the sequalae of memory loss, headaches, dizziness, irritability is a real issue and needs to be evaluated by a neurologist.