You can reach Utrecht easily by train, car, bus or tram. Utrecht does not have an airport so you can't fly directly to the city.
Regular flights from major Indian cities to Eindhoven fly at reasonable prices. You can also fly to Amsterdam which is cheaper and then take a train or a bus to Utrecht.
Netherlands is part of the Schengen Area of Europe. You can apply for a Schengen Visa at your nearest Dutch embassy. The Schengen visa can be used for 3 months within a 6 month validity period. All information related to the visa polivy is available at the official embassy website.
The nearest airport to Utrecht is at Eindhoven. People generally fly there and then take a train to get to Utrecht.
Car rentals are a good option for those willing to experience a long drive at their own pace and comfort. You can pay for parking at fixed rates at one of the many public parking spaces in the city.
Utrecht Central Stationhas daily night trains connecting Utrecht with other international cities like Berlin, Prague and Copenhagen. Domestic trains run frequently and are well connected with other major cities in the country.
Walking or cycling is the best and cheapest way to see Utrecht. Everything is within walking distance of the city centre. If you plan on taking the train, bus or tram get the OV Chipcard to get cheaper prices and avoid queues.