What is the current draw during load on the LM1117 3.3v
If this is the case, will this chip draw more current to output a higher 3.3v current? If yes, how do we know how much?


Yes, it will draw as much current from its input as it is providing to its output, plus the quiescent current.

So if it's providing  650 mA to the load, it will be drawing 660 mA from the input.