Fallout 4 Quests
Fallout 4 quests can be divided into those which are necessary to complete the main story of the game, and the secondary, optional quests. The game has several endings, depending on the faction you choose, so you can't do all the quests for all the factions. At some point you have to decide on one of the available paths.
There are four main factions in the game: The Minutemen, The Brotherhood of Steel, The Railroad and The Institute.
The first quest that you will receive after completing the prologue will be Out of Time quest.