Yes and no. The show is a reasonably faithful adaptation at first, but then starts to go in a different direction. A couple of seasons ago they passed where the books end.
I've totally given up on the books - GRRM has been saying the next one is "almost done" for years, and I personally don't believe he'll finish the series before he either retires or dies. If it ever happens, I'm going to wait until he's released the whole series and then I'll read them.