With no thermostat on the tank your boiler will heat the tank up to whatever temperature it is sending to your rads, which could be 70-80 degrees. The two issues with that are it could scald somebody if it came out of a tap/shower and it’s also unnecessary/inefficient to heat the tank to that temperature, 50-60 is more than enough.
The immersion will have its own thermostat, but you need a way to stop the boiler over-heating the tank. If the tank is factory insulated with an immersion fitted there might be connectors on that to cut-out the boiler too. Plumber will know once you tell them you want it though.