On a side note, I am not familiar with the character at all, but watching the trailer she kinda made me think about Haruhi Suzumiya, a character who can (unwillingly and unbeknownst to her in the case of Haruhi) change reality. Is something like that in her power set?
It depends on what point the character is in within her comics. Through most of the Comics, Carol has your typical Kree's powers amped up a little. The Kree as strong as Captain America, along with all the other benefits of "augmented evolution" (Immune to most toxins, heals quickly, not bullet proof but amazingly durable.) Because she's a woman, she also has some latent psychic powers, like Spidey Sense, that work more instinctively. She is a little different though, because she has a power unique to her.
I forget off hand where she got it but it allows her to absorb and release energy. She can only absorb "celestial" energy, which is a bullshit comic book way of differentiating between kinetic and heat/light/electricity. As she absorbs more energy, she gets stronger but she can't store the energy for too long. Effectively she is like economy superman, weaker, and can only stay amped up for a limited amount of time (To compare her to a current Marvel character, she is like like Iron Man normally, energy projection, about that level of strength, can fly pretty fast). However, the more energy she absorbs, the more powers she gets.
Eventually with enough of it she can change reality in some ways because she can alter gravity and bend space time, she essentially gets kind of cosmic powers (The shit Ego was using, I'm going to guess, in the movie). The problem is she can't achieve that normally without a very efficient power source, raw, random absorption is not efficient enough for her to get enough before she has to release it, even blasting her with some of the more powerful abilities isn't enough to give her that boost. However, at one point though in the comics she got some McGuffin which gave her unlimited power to draw from, and feed her powers, and she was essentially Superman++, not only super strong, faster than light, energy projecting, but also able to alter gravity and as said, warp space time.
I'm going to guess this movie is about that McGuffin, so they can show off her powers. Then she'll lose it as she did in the comics and go back down to essentially being somewhere between Iron man or Thor in powers. If they keep her at the McGuffin level, they'll ruin the universe. Because she's
truly absurd, on about the same level of King Thor (Comic Version). Each Hero has their absurd version, Starks Nano-Tech Suit, and King Thor, for example, and they were nerfed to hell in the movies so I suspect her super version will eventually be nerfed as well to homogenize her. But we'll see.
