According to Islam (Shia view), on the whole, speaking intimately(for marriage) will be permissible if:
Your intention is serious(real) for the marriage, (of course solely at the level of acquaintance and also without the intention of pleasure, if he does not fear that he perhaps falls into a sin with her).
As a result, in the mentioned way, you can talk to her with observation of the mentioned items.
(I recommend you to see the source for further and more complete info. concerning the issue.)
According to Shia, actually in accordance with the fatwa or view of Ayatollah Khamenei (As a Marja al-Taqlid of Shia):
It could be permissible for the suitor (man) to see the woman whom
intends (really) to marry provided that :
1: Its intention is not pleasure
2: Its intention is figuring out regarding her defects or beauty
3: The suitor considers that the girl won't reject him
4: There is no barrier for their marriage 1
According to the Fatwa(view) of Ayatollah Makarem Shirazi:
In which case the Suitor is able to see the face of woman, hands up to
the wrists, hair and a part of her body (neck and upper part of the
1 - Khamenei, Sayyid Ali, Ajwebat al-Istefaat, question 525; Sistani, Sayyid ali, Minhaj al-Salehin, vol.2, Nikah (Marriage), issue No. 28; Bahjat, Muhammad Taqi, Resalah Tawzih al-Masail, issue No.1944; Makarem Shirazi, Naser, Ta’liqat Alaa al-Urwat al-Wuthqa, Nikah (Marriage), issue No, 26; Fazel Lankarani, Muhammad, Ta’liqat Alaa al-Urwat al-Wuthqa, Nikah (Marriage), issue No. 26.
 -Makarem Shirazi, Naser, Ta’liqat Alaa al-Urwat al-Wuthqa, Nikah (Marriage)…