Hello!

A dogs sperm will not fertilize a human egg see our bodies have different ways of stopping 2 species to mate. Sperm from a dog will not be able to penetrate a womans egg plus it wouldn't be able to fertilize it because humans have a different number of chromosomes than dogs. So woman cannot become pregnant form a dog and the egg will not implant because it will not fertilize so it will just dissolve.

No.

Well some people in my class argue that you can indeed get pregnant from larger breeds....This is so weird to me not to mention gross but it does have me puzzled.

Just out of curiosity what class (age wise) would this be?

No impossible! But I have heard that horses and mules can mate. Makes ya kinda wonder if humans and apes can mate lol.