Is this information true?

I got this Alpine a few weeks ago. Yesterday, a friend saw it, and told me that when the flowers die off, then so would the whole stem which they are on.
I don't know the name of it.

 

Yes, your friend is correct.
The sempervivum (sp?) grows a flower-spike from the centre rosette, as the final act of that rosette. So when the two spikes finish, they will shrivel up right to the base. When totally dry, you can easily remove them. You will be left with at least 4 rosettes, which will develop, with lots more satellite rosettes, before the largest one flowers, probably next year.

 

Thank you very much for the information - and for the name.
I have never heard of that sort of thing happening before.
It is going to be interesting to watch.

 

Well, I am glad I opened this topic.
A couple of days ago, one of the stems fell off. I was upset when it happened - even though I was expecting it.
Goodness knows how I would have felt, if I hadn't been warned.
There are five new rosettes growing near where the other was previously.