An electric car does need servicing at the same intervals as any car. Tyre wear and tear, windscreen wiper replacement along with brake fluid changes will all still be needed.
Like any car, an MOT will be needed after three years but with no emissions test and with fewer parts to test, repairs could be minimal.
When the time comes to service an electric car, make sure that the garage has staff that are trained in electric car maintenance. Many leasing companies and manufacturers, through their dealership networks, have trained specialists on hand. If you choose to use an independent garage it's always best to check before you book.