You can get to Georgetown by air, bus, cab/car and even by sea, making it that much more accessible.
Malaysia Airlines, Jet Airways, Singapore Airlines, Cathay Pacific, Malindor Air are the carriers that will take you to Penang and then Georgetown, from Indian cities.
In 2014, Visa On Arrival was introduced for Indians visiting Malaysia. This Visa On Arrival is applicable at Malaysia's main airports like Kuala Lumpur International Aiport, Low cost Terminal LCCT, Penang International Aiport, Johor Bahru, Sultan Ismail International Airport, Kota Kinabalu International Airport, Sabah and Kuching International Aiport, for RM 330/ $100.
Air Asia has a lot of flights to Penang Airport. Flights land within Malaysia (Kuala Lumpur, Kuching Johor Bahru, Kota Kinabalu and Langkawi) as well as Singapore, Hong Kong, Indonesia (Jakarta, Medan, Surabaya) and Thailand (Bangkok).
You can take metered taxis or even rent a car from the airport, to take you to Georgetown.
Public transport is organized pretty well here, with buses being the most popular forms. All buses stop on their route, so you can always hop in to go where you want. In case you want to travel beyond the city limits, you should know that d the public buses stop pick-ups after 22:00. Taxis and trishaws are also available for transport purposes. You could also rent a bike from shops on Chulia Street and Penang Road.