Due to its location beneath the ice-cap there are several signs of an impending eruption and the volcanoes unrest. Melting of the ice by hydrothermal activity often causes what the Icelandics call a jökulhlaup which is a glacial outburst flood. Melting of the ice can also cause depressions of the ice surface.
This 2011 episode started at ~17:30 UTC on the 21st May. Initially the eruption was contained benath the ice, but by ~21:00 UTC the eruptive cloud reached the surface and subsequently rose to an altitude of 20 km (~65,000 ft). It has currently closed the airspace in Iceland temporarily and a jökulhlaup is expected to be created as a result of the eruption.
The following is a link to a webcam of the eruption, which may or may not be working!
An interesting fact about this volcano is that the Grimsvotn volcanic centre has fissures which trend through it NE to SW. One of these fissures is known as the Lake fissure, this fissure is renowned for its lava producing eruption of 1783 in which it released the the most lava seen and experienced by humans in recent history. It also released huge amoutns of Sulphur Dioxide causing an unusually hot summer for the time period. Overall, it caused widespread effects throughout Europe and is attributed to have killed ~30,000 people in Britain as a result.