Hello, I am the owner of a 2005 jaguar x-type. Upon start up when driving away I notice a "gurgling" sound coming from the engine in the location of the glove box.

Sounds like air in cooling system. Coolant comes through to back of glove box area for your heat supply.
Have you noticed less available heat than normal?

Check the coolant level in radiator, not just the top up bottle. DO THIS WHEN ENGINE IS COLD as hot system is under pressure.

Possibility of head gasket leak suppling gases to coolant system. IF so may be producing some persistant heavy white steamy exhaust, though not necessarily.

Topping up coolant will (should) make noise go away at least temporarily. You should look to see if any obvious leaks or wet spots at hose clamps and heater hose connections.

When engine is cold, open Radiator cap, look down (flash light helps?) to see fluid level, should be full to top.
If not, top up with correct coolant mix, leaving cap off, start motor and allow to idle till warm. If level drops top off some more. Watch the fluid as it flows past cap opening. a few bubbles for a few mins may be normal, but continous stream of bubbles indicate head gasket leak. Turn on the heat in car to full, (not the fan, just heat level) gently rev the engine and top up fluid at same time, (2 people) replace cap. Done. If there are no apparent problems.

If noise returns or does not go away, you'll need a professional inspection.