I was just remembering that stupid American version of Godzilla where he was in New York City and Matthew Broderick's scientist character used human pregnancy tests to determine that he was a she and had or was about to lay eggs.  You can't go by anything in a Hollywood movie, though.  It just triggered an interesting movie memory! 

I did a quick google and found this:  http://www.genome.gov/17515860

"While dogs occupy a special place in human hearts, they also sit at a key branch point, relative to humans, in the evolutionary tree. It was already known that humans share more of their ancestral DNA with dogs than with mice; the availability of the dog genome sequence has allowed researchers to describe a common set of genetic elements - representing about 5 percent of the human genome - that are preferentially preserved among human, dog and mouse. Rather than being evenly distributed, some of these elements are crowded around just a small fraction of the genes in the genome. Future studies of these clusters may give scientists the critical insight needed to unravel how genomes work."

I also found this site:

http://www.theanswerbank.co.uk/Animals-and-Nature/Question110316.html

So apparently the answer is maybe.
Human cg and Dog cg may or may not be similar enough for the test to work.

But this is the best advice I found:  http://www.wikihow.com/Tell-if-a-Dog-Is-Pregnant