Q: Does the word "notice" mean the same thing in "He gave notice two months before he moved." and "He took no notice of the changes, and went on as though nothing had happened."?

A: different meanings

Q: Does the word "session" mean the same thing in "A filming session." and "A gossip session."?

A: the same meaning

Q: Does the word "play" mean the same thing in "I used to play with trucks as a little girl." and "They played long and hard."?

A: the same meaning

Q: Does the word "war" mean the same thing in "The "war on terror" is a campaign against terrorist crime." and "The "war on drugs" is a campaign against the use of narcotic drugs."?

A:
the same meaning