A standard light meter reads the white light humans see.
If the LED is nothing but white led's you can use it, otherwise you need a PAR meter (what the plant benefits from), but most LED manufactures have already done that for you in chart form.
You only need to keep the distance within the recommended range for success.
I tend to use the range towards the longest distance, except the last 2 weeks in flower.
ie manufacturer flower range 10-16 inches - I would flower at 14" until last two weeks then move to 12".