The TV will give you not only sub par viewing from Netflix, Hulu and such but you'll often find the video to not show up right on the screen.
So it might work but poorly. Unless this is some HDTV I would not spend a penny on this.
I am purchasing a converter box for my analog TV to get digital reception and the box has a HDMI out connection. Can I use a HDMI cable to connect my old laptop to the converter box so I can use my TV as a monitor to watch Netflix, Hulu, etc. ?