Below is a list of Tera's servers and which are PVE an which are PVP.

Arachnaea :: PVE
Basilisk Crag :: PVP
Blightwood :: PVE
Celestial Hills - RolePlay :: PVE
Dragonfall :: PVE
Feral Valley :: PVP
Freeholds :: PVE
Frost Reach :: PVE
Jagged Coast :: PVP
Serpentis Isle :: PVE
Valley Of Titans :: PVP