One of those two fittings goes to the inlet side of the primer bulb. The other is for fuel, I've repaired a bunch of these, just got a memory fade thing, forgot which is which. I tried them both ways and the saw would only run for a few seconds then die. I'll probably end up cleaning the carb and putting a new kit in it after I run the fuel lines right.
My mistake I did not realize you had a primer bulb.