The meaning of "on"?

1.The four of them passed through the dining room, empty and silent now, with its fabulous western exposure on the snow-dusted peaks.
2.Hallorann lead them back toward the wide swinging doors that gave on the Overlook Dining Room.

This quotation is from the novel The Shining.
I am just wondering if both "on"s have similar meaning in the sentences. For your information, Overlook is the name of a hotel.
I have looked up a phrase, namely, give onto, which means afford a view of. So I guess the first "on" means "facing" or "point towards" and the second "on" means "lead to" or is just short for "give onto"? I don't know if I understand them correctly.
What's the meaning of "on" in these cases?
Would you elaborate on it?

Thank you in advance.