I am a 24-year-old, highly educated professional looking for new opportunities.

highly 是副词，由形容词 high（高的）加上后缀 -ly 构成，表示"高度地、非常地"。 educated 是动词 educate 的过去分词形式，educate 意思是"教育、培养"，这里表示"受过教育的"。 highly educated 指"受过高等教育的"，强调教育程度高。