The sauce tastes very simple. I'd be surprised if it was much more than tomatoes, shallots, cream, and fresh thyme. I'm sure about the thyme because I got a nice bite of it. I couldn't pick up any other specific herbs, though it wouldn't surprise me if there was some oregano in the sauce.
The sauce is not chunky at all, though it's not quite pureed. It's fairly thick after coming out of the oven. The tomatoes are practically minced, but they do still retain some texture and a little bit of coarseness.
There's definitely cream in the sauce, but it's not a large amount (as you can see from the color). Just enough to add some richness to it. As far as I could tell, they did not put any separate cream on top of the sauce as many recipes call for.