I hope this isn't a dumb question...
How do you determine what key a song is in from the bass clef?
The clef symbol has two dots after it but they are always on the F line.
Maybe, I am reading too much into the clef itself.
How do you determine the key of a song?
Let's keep this simple; here are two methods.
1. Listen to the song and walk the frets of your G string up the neck. When what you are listening to and what you are doing on the G string sound good together you have found the tonal center of the song. Look down at what note that happened on. That's your key.
2. The other method involves the chords in the song. If all verses start and stop with the same chord, the name of that chord is the key used in this song. That's not going to happen that often, so look at what chord ends each verse. If they all end with the same chord the name of that chord is your key.
Another way is to look at the key signature shown on the sheet music. No sharps or flats it will be C major or A minor. One sharp it will be G major or E minor. I think the guys have already gone into detail on this.
Here is a memory peg for the keys with sharps:
See God destroy all earth by f#irey c#haos...
C has none, G has one, D has two. etc. now which ones are they... well... fat cats go down alleys eating birds. G will have the F# for "fat".
and here is one for flat keys: Farmer brown eats apple dumplings greasly cooked.
Now you figure a memory peg for what flat keys. Hint F has the Bb, Bb keeps the Bb and adds the Eb. You take it from there.
Have fun