If Captain Marvel (MCU) were to have a child with a human male, would the child be human or Kree?
She was born human but was changed over to Kree and currently has Kree blood and Kree DNA.
Whilst the official answer of the MCU is technically "unknown" I would posit that she would have human children.
In the trailer and film Yon-Rogg and the Supreme Intelligence tell her that she is part Kree. However, there isn't really much evidence for this. The main evidence is that she has blue blood but this only came from the initial transfusion by Yon-Rogg to save her. Her actual blood may not be blue but they could have been telling her she needed regular transfusions to keep her healthy and thus keep her blood blue.
Of course if she didn't have blue blood, as mentioned by @gowenfawr she would soon find out through her period anyway.
If I remember rightly the only time we see the blue blood is during the fake flashback when Yon-Rogg is replaced by a Skrull. The Kree have obviously manipulated this image so it is likely that they changed the blood colour. As mentioned by @Anthony Grist later on in the film when she recovers her memory of the events here her blood is red again.
The only part of her that is Kree, if anything, is her blood. The Kree changed no other part of her per my understanding. Her powers, that the Kree claimed to have given her, actually came from the Space Stone and not the Kree at all.
Her children would likely be human.
The Kree do say that she is only part Kree, having been given Kree blood transfusions, just like Coulson and Daisy in the Agents of SHIELD universe.
This does not convert them to become a Kree. Her base body and DNA are still pretty much human.
We do see her bleed blue during the film. It happens during her memory flashback AND during her captivity with the Skrulls. The Kree may lie to her about giving her the cosmic powers (that she gets from the Tesseract), but they are not lying to her regarding what they have done with her physiology in order to
Given that she bleeds blue, they had to alter her DNA in order for the blood supply to start replenishing itself as Kree and not human. Carol Danvers, by the end of the film, is no longer fully human. This can also be witnessed by the fact that Carol without her cosmic powers can still put up with Kree soldiers because her classic Captain America type powers (endurance, strength, healing factor, longevity, disease resistance, etc.) come from the Kree and thanks to Yon-Rogg.
That is her backstory in the comics, and in an altered way that is her backstory here (instead of DNA mixing you get blood transfusion, and instead of Mar-Vell you get Yon-Rogg).
Most likely, she either would have human-Kree hybrid children (in some respects), or no children at all.