Josiah said:
I know the force of gravity is incredibly weak, but on the other hand there is a huge number of gravitons hitting the electron
These two things have nothing to do with each other.
Consider the analogy with electromagnetism: the number of photons hitting something, which corresponds to the intensity of light shining on that something, has nothing to do with the strength of the electromagnetic force. They're simply two different things.
Josiah said:
wouldn't this be detected
You are trying to conflate different questions here.
If we
assume that gravitons exist and that they are described by the QFT of the massless spin-2 field that I referred to before, then there is a nonzero probability for an electron to absorb a graviton. But that nonzero probability is astronomically tiny--many, many, many orders of magnitude smaller than the probability for an electron to absorb a photon. So tiny that, even if we had a whole universe full of nothing but electrons waiting to absorb gravitons, we would not expect to see even one such absorption for a time much longer than the lifetime of the universe.
If such absorption were to happen, according to this theory, it would have an observable effect--but the
if is a huge
if.
However, as I've already commented, we don't know if gravitons actually exist, or if they exist, that they are correctly described by the massless spin-2 QFT I mentioned, in any physical regime that actually matters. And if that QFT does not correctly describe gravity in any physical regime that matters, then we have no way of even answering your question, because we have no theory to use to answer it.
In other words, we don't actually
know that there are "a huge number of gravitons" flying around in the universe trying to hit things. We
do know that we've never observed any.