You will arrive as a domestic passenger and need to go through domestic arrivals back to the check-in area, then upstairs and back through security.
Provided you land on time and no delays getting off the aircraft, you can be off the aircraft and clear arrivals within 15 mins. You then need to get through security which shouldn't be too busy that time of day, but could still take time.
Bear in mind EasyJet close the gate at i think 25-30 mins before departure.
If you have bags you'll likely need to collect your bag and recheck it in at Bristol. The desk will close 40 mins before departure.
I know EZY do occasionally do connections, so might be worth asking these questions to EasyJet. If they approve it and you miss your connection they "should" rebook you. If you book it all yourself are 2 separate flights, you're on your own...