Halachos for Erev Shabbos Kodesh

1) A woman, after giving birth to a child, is considered like an ill person that recovered from an illness, and as such would seemingly to need to recite Birchas HaGomel.

However, there are various different customs regarding women and Birchas HaGomel, as we will now discuss.

Some Poskim rule that any time a woman is in a situation where she was saved from a danger, she should recite Birchas HaGomel, no different than a man.(Siddur Ya'avetz, Kitzur Shulchan Aruch Siman 65:2 and Ben Ish Chai Parsha Eikev Siman 65. See Halichos Shlomo Perek 23:4 that only after childbirth is Birchas HaGomel recited by women and not for other dangers that  they survive.)

Some have the custom for the woman to come to Shul and recite the Bracha in the Ezras Nashim (women's section of the Shul) at a time when ten men are present in the Shul. (See Shu"t Yechaveh Da'as Vol. 4 Siman 14 and 15 and Shu"t Yabia Omer Vol. 8 Siman 23:15)

Some have the custom that a minyan is assembled in the woman's home to daven a Tefilah and she recites the Bracha afterwards. ( See Shu"t Har Tzvi Siman 118, Ketzos HaShulchan Siman 65:6, Shu"t Tzitz Eliezer Vol. 19 Siman 53 and Shu"t Minchas Shlomo Vol. 2 Siman 4:31)

Others have the custom that the woman's husband should recite the Birchas HaGomel and she should answer Amen, and thus exempt herself with his Bracha. (See Mishna Berura Siman 219:17 that a man and his wife are considered one body and thus one may recite the Bracha of thanks on the others' behalf. However, if doing so in her presence the text of the Bracha must be changed to "HaGomel L'Chayavim Tovos SheGmalach Kol Tov" or if she is not present, he should say "HaGomel L'Chayavim Tovos SheGamal L'Ishti Kol Tov". The Aruch HaShulchan 219:9 frowns upon this custom)

Others have the custom that women do not recite Birchas HaGomel at all. (See Mishna Berura Siman 219:3 that this was the custom in his time, the reason being that Gomel needs to be recited in front of 10 men, and it isn't appropriate for a woman to do so. This is also the ruling of Shu"t Halachos Ketanos Vol. 2 Siman 161 and the Aruch HaShulchan 219:6. See also Shu"t Be'er Moshe Vol. 4 Siman 22 regarding alternative ways for a woman to express her thanks to Hashem without reciting Birchas HaGomel. See also Shu"t Teshuvos V'Hanhagos Vol. 4 Siman 53. See also Halichos Shlomo Perek 23:4)

Halachos for Shabbos Kodesh

1) Another custom is for the woman to recite the Bracha in the presence of nine women and one man. (Mishna Berura ibid, quoting opinion of Elya Rabbah, Chayei Adam and Knesses Hagedola. Rav Moshe Feinstein Zatzal, in the very last Teshuva that he wrote in his life (Printed in Orach Chaim Vol. 5 Siman 14) argues and maintains that there is no advantage to a "minyan" of women, and the Gomel is best recited in front of one person, a man or a woman, and if she is married it is best recited in front of her husband)

However, if the Bracha is being recited with less than ten men present, it is best recited without Shem U'Malchus. (Kaf HaChaim 219:3)

Some have the custom for the woman to recite Birchas HaGomel in front of ten male relatives only (Kaf HaChaim ibid.)

Each of the aforementioned customs has basis in Halacha, and each woman should conduct herself as per the custom of her community.

2) If a woman has the custom to recite Birchas HaGomel after giving birth to a child, she must wait [at least] seven days after the birth of the child to be considered completely healed. (Kaf HaChaim 219:7. See also Shu"t Be'er Moshe Vol. 8 Siman 120)