Yes and no - many of the fundamentals of a great user experience are shared between Google and Bing (they want to provide the most relevant articles to the consumer, that is how they keep the consumer happy)
However, there is Nuance in what they consider a relevant, or higher priority. For instance, Bing values fewer, more powerful backlinks whereas Google values a swath of backlink-related elements.
But either way, if you’re focused on generating great “earned” relevant backlinks, that behavior will benefit both.
I think a more important question is - do you have to choose? (to optimize for one or the other) and I think the answer is no. I am very confidence, smart SEO’s (like Real Estate Webmasters SEO’s) will figure out how to get sites rankings very well in both search engines)
Is anyone already optimizing for Bing and getting great results?