It should be an 1157 bulb, which is nothing special. I can't imagine this being anything but routine.
Let's go at it from a different angle however and do some diagnostics first.
What I would like you to do is to take voltage readings off of each of the 2 center contacts. One with the key one, your black meter lead grounded and touching each terminal in the socket for the bulb, then turn that side turn signal on and check the voltage.
You should get battery voltage on one terminal all the time with the key on, and get the intermittent battery voltage on the other terminal as the flasher sends volts to it. Now to confirm what you are seeing, do the same tests on the other front turn signal and compare the results left to right.
Lastly, if you look at the metal base to the bulb, it should have a 4 digit code on it which identifies it. Check the code on the bulb that works correctly.
Let me know what you find on that and we can go from there.