If it's on one ticket then you will have 1 hour to walk from terminal A to the end of terminal B. Same building, no need to take bus or train. Probably 10-15 minutes slow walk.
Small edit: If you will fly on CRJ-200/700 or ERJ-145 then you will arrive at terminal A and then walk to B.
If you arrive on EMB-175 then you will arrive in terminal D and you will have to take a bus to connect to terminal A.
Either way. You will have plenty of time.