There are times when she does it from her own initiative, and also when I lead/push her into doing it. But I think she doesn't dislike homework itself.
ご質問ありがとうございます。
"There are times when she does it from her own initiative,"＝「自分からするときもあります」
"and also when I lead her into doing it."＝「そして私が彼女にするように促すときもあります。」
（"lead"は「導く」に近いニュアンスですが、"push"は積極的に促すという意味になります。）
"But I think she doesn't dislike homework itself."＝「でも彼女は宿題自体は嫌いではないと思います。」
ご参考に。
アメリカ合衆国 
