In this case, “stalk” means learn everything you can about what works best for this site. You want to know which topics get the most page views, the most engagement and encourage the most debate. Research the heck out of the blog. Remember, the more people who read your blog post, the most people might follow your link to your client’s page, and that’s the ultimate goal. So anything you can do to increase the chances someone will read your post is good.