"Pretty well" in this case means that I can typically manage to remember the chord, put my fingers in position, and make a strum by the time ol' Jack has moved on to the next chord. Bm, B7, and F#m are all bar chords (barre?) which means they sound terrible when I try to play them. But two weeks ago I couldn't even imagine how playing a bar chord was possible. Now I can at least imagine.
Jack Johnson's music is good for a beginning guitarist to play along with. He picks keys that are easy to play on the guitar, and his music has strong beats on 2 and 4, so if you spend beats 1 and 3 trying to find the chord, you can still feel like you're doing a good job of playing along.