The kids talking about skiing within a week are bullshitting, there is no way with a break that serious. I broke mine at the end of August a few years ago (full break but no floating piece like yours - will you need surgery?). I went skiing on opening day at the start of November by which time I was probably 75%, the bone was fully heeled but I didn't quite have full range of motion in that shoulder. Make sure you do physio when the bone is heeled, do it daily as the PT tells you to. My first week I was on the couch in a sling eating oxy watching movies, had to get help showering etc, arm basically useless. Week 2 was better, taking it out of the sling a bit and self shower but still not able to use it much. Week 3 was out of the sling, able to type etc, but not raise arm up very much. I think week 4 I was able to do more or less full range of motion physio.
I hope you don't have to get surgery on that, good luck, do physio.