You probably will, but not anything terrible. Most girls bleed a little bit the following day (I wore a pantyliner), but it's nothing very heavy in most cases. If you're very concerned just avoid any sheets/materials that are white or very light colored and make sure you have a pad of some sort handy for whenever you get dressed.
Well.
You'll more or less bleed no matter what because there's a thin layer of skin that will break and bleed, but not alot.
It's typically called a Cherry.
And the ripping of the layer is typically "Popping the cherry"
If you really want top know, that layer is called a hymen.
It breaks when the penis penetrates it.
Nothing to worry about though.
=D