Minimum g9 led current
I've found a few IV curves for normal 3V LEDs just can't seem to find one for these 220 V G9 LEDs.

As explained in the comments, it's not an LED, it's a lamp using LEDs.

Figure 1. Screengrab from Big Clive's Teardown of a G9 LED lamp.

Figure 2. The results of Big Clive's reverse engineering.
You can work out the impedance of the 470 nF capacitor from \$ Z = \frac {1}{2 \pi fC} \$ where f is your mains frequency.

From the comments:

Does the circuit system mean I can directly connect to a 220 V supply and the circuit will regulate the current required?

The schematic (which is for Clive's lamp - not yours) shows that there is no regulator. Current is limited by the impedance of the 470 nF capacitor and
the 330 Ω resistor. As voltage is reduced the current will fall too.