There is no objection, but it is not obligatory. Rather, it is preferred for him to see her, and for her to see him. This is because the Prophet sallallaahu alayhi was salaam ordered the suitor to look at her, because that is more likely to produce harmony between them, so if she uncovers her face, hands and head for him, there is no objection, according to the most correct opinion.
Some of the scholars said that it is sufficient for him to see her face and hands, but the most correct opinion is that there is no objection to him seeing her head, face, hands and feet, according to the aforementioned Hadeeth. But it is not permissible for him to do so, while being alone with her; rather, her father, her brother or another must be present with her. This is because the Prophet sallallaahu alayhi was salaam said:
‘A man may not be secluded with a woman except with a Mahram.’ Muslim no. 1341
He sallallaahu alayhi was salaam also said:
‘A man should not be alone with a woman, for verily Satan makes a third.’ At-Tirmithi no. 2165 and Ahmad 1/18.
Narrated by Imaam Muslim with an authentic chain of narrators, on the authority of ‘Umar, may Allaah be pleased with him.