This passage indicates the type of relationship Gertrude and Hamlet have. She is his own mother, but there´s only one ocassion in the whole play in which she class Hamlet to speak privately in her room. Besides, Hamlet is really angry at her, because she married his uncle too soon after his father´s death.
In this passagge, she is asking Hamlet´s friends to approach him, as she can not do much herself. This reveals her still loving care for her son, though they don´t have a good relationship. Gertrude actually never regrets or shows any guilt for marrying Hamlet´s father brother.
