Universal Studios Japan is located about 500 km (315 miles) west of Tokyo and it takes 3 to 3:30 hours to get from Tokyo Station to Universal Station. You can catch a bullet train from Tokyo Station to either Shin-Osaka Station or Osaka Station, and then change to local trains to get to Universal City Station.
Typical trip price from Tokyo to Universal City Station is about 14,500 to 15,500 yen, which includes a reserved seat on the bullet train. If you have a Suica card or ICOCA card, you can use these for local Osaka travel and local Tokyo travel. This means you would only need to purchase the bullet train ticket.
If you have a Japan Rail pass you will be able to use your JR Pass for all parts of the trip. Not all shinkansen are covered by the JR pass so ensure you check before booking.