Applying X gate to the $|0\rangle$ state gives you $|1\rangle$, and applying Y gate to the $|0\rangle$ state gives you $i|1\rangle$. These states differ only by a global phase (the $i$ scalar multiplier in the second case), so they are not physically distinguishable (you cannot set up an experiment to observe the difference between them). Bloch sphere represents all states that differ by a global phase as one point on it, so you won't be able to see the difference using it.
X and Y gates differ in their effect on most other states, though (except $|1\rangle$, which will give you the same issue).