Well, it looks like your daughter is 3 months old, right? If you were sitting her in front of a TV already I would be worried!!!!!
My daughter didn't see the TV at all - except for the 'musicchoice' channels until she was about 18 months old and then we did watch Barney etc and then sponge bob & fairly odd parents. I would she would watch a show at a time - but she was in daycare for the full day while I worked and then I spent a year at home when she was 3, but we were NEVER there, so we rarely watched TV.
Now she is 11. She probably watches 30 min a day. Not because I put "limits" on, per say.... but because TV can't be watched until everything else is done. Some days if she is on her game and gets everything done then she can watch TV.
I will say this..... TV (depending on the show) is an EXCELLENT way to initiate CONVERSATIONS with your kid about stuff to open the lines of communication.
So, she NEVER watches TV alone. I always sit down and watch it with her - and some of those shows I HATE - just try to make through 30 min of suite life of Zach & Cody - bleeeeeech.
However - sometimes its while the show is going on or sometimes its the next day in the car or sometimes its a week or two later I can refer to that episode and talk about the decisions they made or what she would have done.
So, Glee is the big rage and all her friends at school are watching.... YES I KNOW 4th GRADERS!!!!! And some of that subject matter is pretty adult. But we had the BEST conversation the other night after the show when Kurt and his dad talked about sex - he gave an EXCELLENT talk to his son (well, after they both got through the awkwardness!).
Now - I don't advocate starting a TV habit to have discussions with your kids....lol. But I do think that if you do watch TV with your kids it can open up a TON of opportunities to talk about good decisions / bad decisions.
As far as having a kid that won't do anything else but watch TV.... TV IS addicting. The key is to not let them START watching several shows that are 'series' based, because then they want to follow the characters.
I also find that if you just make it so that the 'work' your kids has to do (ie - self-care, room clean, shower, practice piano, homework, etc) comes FIRST and ANYTHING else comes second it will naturally take care of regulating itsself!!!!!