Many of her BBC colleagues were among thousands to send supportive messages in response.
Fellow 5 live presenter Nicky Campbell told her: “You are an astonishing human being. Love to all.”
A selection of other messages are below:
Chris Mason, BBC reporter: “Thinking of you Rachael — and of Steve and Freddie too. You are an extraordinary person to work with and listen to. It’s clear for all to see what a brilliant Mum, wife and broadcaster you are too. It was always an incredible privilege to share the airwaves with you.”
Emma Barnett, BBC 5 live presenter: “You are a Wonder Woman and I am sending you so so so much love and strength to you, your husband and your lovely little boy xxxxx”
Christine Talbot, ITV Calendar presenter: “Rachael, I have watched in awe at all you have done to help people going though this horrible illness. I know from experience how much it means when there is someone willing to talk about it.”
Adil Ray, actor and writer: “A real inspiration to us all. Big love to you and your family. Such courage and grace. Xxx”
BBC presenter Victoria Derbyshire: “Courage, grace, laughter – that’s you. You are amazing.”
Bland, who was previously known by her maiden name Hodges, has been a BBC news presenter for more than 15 years.
Last month she told the Sunday Telegraph: “I’m not scared of dying. I only fear for those I leave behind.”