I'd guess a mix of a small poodle (that apricot color is very poodle) and something small and hairy. Hard to say exactly what, since mixed breeds can take after any of the component breeds to different degrees, so there are no dead giveaways, but I'd guess another small floppy eared dog, like a Maltese. Maybe a Cocker if the poodle heritage was quite a small poodle, since this dog doesn't look to be very big and Cockers tend to be more robust? It's not impossible it's a Schnauzer/Poodle. Or a mix of three or more little hairy dog breeds.
Speaking a someone who just raised a poodle puppy, if I'd had to handle a baby poodle and a baby human at the same time, one of them would have gotten thrown out the window. If your girlfriend wants to get a dog, tell her to get a mild-mannered, kid-friendly adult dog from a rescue, shelter or rehoming.
I'm assuming she's going based on appearance (and that is a super cute dog) since you only have pics, not a description of a particular dog, but be advised that with mixed breed dogs the appearance is not standardized, so you can get some, say, "Maltipoos" that look a lot like that - a cute combination of the cutest features of both breeds - but you can also get Maltipoos that look like a Maltese or a Poodle that fell out of a derp tree and hit all the branches on the way down. So that's another reason to look for an adult dog, if appearance matters - all puppies are cute. Some of them don't stay that way. Also, you primarily live with the dog's temperament, personality and trainability, not its looks, so choose a well-bred pup from a breed that is well known for the characteristics you want for your family, or get an adult dog of any breed or mix that already demonstrates those characteristics.
