A more thorough explanation:

Definition: To be silly due to old age or to bestow excessive fondness.

Example 1: Grandma tends to dote on her grandchildren, always giving them sweets and toys.

Example 2: The old man would often dote on his cat, talking to it as if it were a person.

Explanation: In both examples, the term "dote" is used to describe excessive fondness. In the first example, the grandmother is overly affectionate towards her grandchildren, spoiling them with treats and gifts. In the second example, the old man is so attached to his cat that he treats it like a human being, which could be seen as silly or eccentric.