Yes, you can use an IR blaster with your PC. It's how everybody uses media center if they have a cable box.
http://www.amazon.com/HP-REMOTE-CONT.../dp/B004PXJGXU
Hah, this isn't even my question, but I feel the need to clarify since no one is answering it the way he means it. Let me see if I can explain it better. My apologies if it sounds like I'm being overly simplistic, but it is obvious no one else caught what he wants.
He is going to use the Logitech bluetooth keyboard/mouse device to control his HTPC. That is all that device emits, a bluetooth signal.
He would like to be able to ALSO control the volume on his TV via that bluetooth device. The TV only receives IR signals.
Therefore, we need something on the HTPC that will interpret the BLUETOOTH signal from his Logitech, understand that it is meant for the TV, and send an IR signal out.
The device you linked is an IR receiver, which would allow someone to use an IR remote with the HTPC, obviously. It won't EMIT an IR signal (*I'm wrong, see edit), only receive one. He needs to emit one. He also needs some sort of program to interact with his HTPC to decide when to emit that signal.
I am not aware of any such solution. But that is his question, not how to get an IR remote to work with the HTPC. He's basically asking if there is any way he can avoid picking up a second remote to change the volume on his TV.
EDIT: As I posted, Zodiac posted as well, and understands the question correctly now. Of course, I could be the one not understanding correctly, but I think I get what he wanted.
Further EDIT: My apologies to BrutulTM. That is in fact an emitter as well as a receiver, so I misspoke. However, it still doesn't receive bluetooth so won't do what he wants. But it is in fact an emitter, so I just wanted to clarify that point.