Sriharikota, the barrier island in South Indian state of Andhra Pradesh, is situated eloquently separating the Pulicat Lake from Bay of Bengal. The island houses India's only satellite launch centre, which is used by the Indian Space Research Organization that launches these satellites. This satellite launch centre is placed in Satish Dhawan Space Centre that is also known as SHAR (Sriharikota Range).
The satellites here are launched using multi-stage rockets such as the Polar Satellite Launch Vehicle (PSLV) or the Geo-synchronous Satellite Launch Vehicle (GSLV). One can get around this space centre only if you have prior permissions or if you know any of the employees working here. However, you can still watch the launch from outside the entrance of the Satish Dhawan Space Station, half kilometre from the space station in the direction of the Space Station entrance.
The best thing is to have prior permission so that you can tour the entire place and get to know how the satellite is launched. You can have a close look at the launch vehicles and launch pads. It's difficult to see the launching of the satellite as the security is tightened up during this time.