There are a few things you need to do to help you survive through the first night in the game but you only have one day to prepare, One day equals ten minutes in the 1.7 version.
You need a shelter. anything that is 3 squares by 3 squares and 3 squares high is good enough however make sure you leave a gap so as you can see the daylight again as if your mining down into your shelter through the night, you can loose track of time. You also need torches, this is a must if you don't want zombies, archers, spiders or worse, Creepers, spawning right beside you in the dark.
You can cut down trees without an axe but it wastes valuable time so make sure and get enough wood to build a crafting table, sticks, blocks for the axe head or pick axe head (for mining) and burning material to make charcoal (About 10 tree blocks) then make sure you chop wood for your shelter with either a wooden axe or a stone axe. The video below shows most of this and how to make them, although the Xbox has a click option that does it all for you if you have the right materials but I am not sure about the Play-station versions, so if you do need to know, it's in the video.
You do not always have to make a shelter either, if you spawn next to a cave, you can just block it up with dirt to keep you going through the first few nights until you gather what you need. You might want to make a stone sword in preparation for fighting at night or a pick axe if you prefer to mine at night too.