I don't hear any particular "accent". Of course everybody has an accent but I don't hear anything at much variance from standard American English, insofar as there is such a thing. There's very little in her speech that stands out as off-normal.
Do you mean the rising inflection at the end of each line?
Her diction is virtually flawless --- she either has an exceptionally good ear for language, or she's making the whole thing up.
I suspect the latter, since she ducks away from pronouncing her own name (or pronouncing anything other than English) and so sidesteps any opportunity to establish credibility for the identity she claims.