I am not a teacher nor a native speaker.
So, you shouldn't take what I'm going to say on trust.
But, let me give it a shot. Here is an excerpt from the OALD, 8th edition:
3 [uncountable, singular] used when you are talking about whether you can see sth or whether sth can be seen in a particular situation
The lake soon came into view .
The sun disappeared from view .
There was nobody in view .
Sit down—you're blocking my view.
I didn't have a good view of the stage.
4 [countable] what you can see from a particular place or position, especially beautiful countryside
There were magnificent views of the surrounding countryside.
The view from the top of the tower was spectacular.
a sea/mountain view
I'd like a room with a view.
As you might have noticed they use a good view at point 3, althought it's an uncountable noun. I reckon it's because they're speaking about a sort of view here. The same should be applied to your example.