The correct option is D 's going / grows
The first blank of the sentence refers to an ongoing habitual action. Thus, present continuous tense. The second blank of the sentence refers to a general truth, thus simple present tense is required.
"Go/grow" in option A is incorrect as "go" indicates travel. "Grow" is used with plural nouns.
"Going/grows" in option B is incorrect as "going" indicates present continuous form of verb 'go'. Without the auxiliary verb 'is' this is grammatically incorrect.
"Goes/grows" in option C is incorrect as auxiliary verb is required.
"Is going or 's going/grows" in option D is correct as it is the correct form of present continuous tense sentence structure is "S + is + (V + ing) + O. Thus, "she's going to be" is correct. "Grows" is also correct as growing up is a general truth and she will definitely grow up. So, (grows) is the correct verb form with singular noun.
Hence, option D is the correct answer.