I bought the pack thinking the earbuds would also function like the MP3 player from Sims 3, but it appears as though the earbuds are coded the same (or similar to) how a stereo works in Sims 4. It's seriously disappointing. Sims can't really do anything while "Listening" to music and just turning the earbuds on doesn't give them any special moodlet. Unless you use a mod, actually doing the "Listen to" interaction doesn't even boost the fun motive.
I've tried jogging, painting and some other things. I haven't found anything I can do as multitasking while "Listening" to music on them. I think this was by design, but I think it was also a huge mistake and how they function should have been explained thoroughly from the outset to avoid this confusion and comparison to the MP3 player's functionality in Sims 3.
Edit to add: I find it particularly ironic given the emphasis on multitasking in Sims 4 that Sims are so limited to what they do can while actually "Listening" to music on them, when in real life people multitask all the time in all kinds of ways when using an iPod, but the same could be said for listening to a regular stereo as well.