The Sky News presenter shares her story on documentary The Talk. The title refers to the conversation between black parents and primary school-age children to prepare them for living in a society where racism still exists.
The show features leading black figures, including musicians Tinie Tempah and Emeli Sande.
Mother-of-three Gillian, appears with her daughter Tiwa Adebayo, 22, who also fell under the spotlight recently when she wrote an open letter challenging racism in independent schools.
Gillian says: “It was quite emotional because we were going over some of the issues she had at school.
“I feel sad that she has had to go through some things she did and sadly, some things I went through at school she went through as well. It makes you question if there has been any progress in the past 30 to 40 years.
“You want to protect your children and keep them safe from everything and this is one thing you cannot keep them safe from.
“You feel really vulnerable and like you have failed them in a way, although it is not within your control.”
Gillian, whose parents are from Dominica, says: “I was given The Talk, I gave it to my children. It is your job as a parent to prepare them for anything they might come across in real life.