As it is you won't need a current to voltage converter.
A photodiode will increase its current in the presence of light. That will create a voltage drop across R1 which is what the comparator reads.
I really have no idea how sensitive your sensor needs to be, or what the photodiode on the other side of your finger sees. If the difference between pulse and no pulse is tiny, then it is only a tiny voltage change you are trying to detect.
If someone else says you need a current to voltage converter, they might know more about using this sort of sensor than me.