Dartford was the only house of Dominican nuns in England and it was one of the most important nunneries in terms of size, income and resident nuns. It could be that Bridget was retarded- as usual there is little information out there. On the other hand, it wasn't that unusual to "donate" a royal child to God, Bridget's nephew,as second son, was being prepared for a life in the church...and he became Henry VIII ! Edward and Elizabeth certainly had plenty of children- particularly daughters, so maybe they thought they could "spare" one daughter for the religious life.
Looking at primary sources, she figures in the Wardrobe Accounts of the reign of Richard III (she got a pillow and a length of Fustian).
On 6th July 1502, money was paid by her sister, Elizabeth of York, to the Abbess of Dartford towards the charges of "Lady Bridget". In September, a person was paid for going from Windsor to Dartford, to Lady Bridget, with a message from Elizabeth. So it does seem they kept in touch. As for visits, I can find no record although it would apper that Bridget spent some time in the Sanctuary of Westminster with her mother and sisters. Also, on the Tuesday following the funeral of Elizabeth Woodville,Anne, Catherine and Bridget arrived at Windsor by water and took part in ceremonies in the chapel.