You probably want a centrifugal pump, a magnetic drive will give flexibility because as pressure approaches shut-in the motor will disengage from the impeller, preventing anything burning out or blowing seals. Without magnetic drive you’ll be limited in how long you can run the pump against a closed valve before something dies (unless you go to the complexity/expense of bypasses).
On the outlet you’ll want a valve of some sort (never close a valve on the inlet to a pump), broadly 2 types, ball, gate, etc are good for on/off but not so good for fine control (you’ll get 80% of the flow at 20% open), but you can still modulate them if your careful and would likely be fine. Valves for controlling are far more linear, and usually globe valves which force the fluid to change direction, pass through an orifice and a plug above the orifice effectively controls it’s size. You can get near linear control then, this is how taps work.