Most big screen TV's anymore are smart TV's, but no you do not need a smart tv. All a smart TV does is allow for internet to be hooked to it with functions built into the TV to make the need for a computer unnecessary. Since you are hooking your laptop to it you getting your internet from that device.
As far as resolution goes it depends entirely on the input you are providing to the TV and the resolution capability of that TV. In other words, the TV, must have the resolution capability to fully display a high resolution input. But even a high definition TV will not compensate for a low resolution input.
As far as curved TV, supposedly they give a better picture to those who may not be sitting directly in front of the TV. Best Buy or a similar outlet usually have a curved TV for you to see the difference. Since I personally do not have a curved TV I can not speak reliably about them.
Hope this helps.
Go with the 4K resolution, one which also can take a lesser resolution like 1080P and interpolate. A large 4K has the screen space and resolution to display two pages of 1080P text side by side, if the computer’s video capability allows. The proper upgrade HDMI cable with sufficient data capacity will be required to carry a true 4K signal, if the signal source is actual 4K capable.
True 60FPS is the bare minimum for screen refresh rate at the native resolution. 120FPS or 240FPS will reduce the chance of image smearing with fast moving image elements. Avoiding echos, multiple horizontal displaced copies, is the goal. Be aware some claim high refresh rates by strobe flashing of the LED back-light elements, without actually doing a frame refresh based upon interpolation between lower rate frames.
True picture contrast in excess of 800:1 is desired, brightness higher than 400 nits also. How much natural lighting through windows—some screens are reflective and others a matte finish?
3 to 5 times the diagonal measurement of the screen is often recommended for the viewing distance for a 1080P television. Higher definition displays will not have observable pixels at close range. Larger displays will offer eye relief for those whose eyes have difficulty with switching from close work to distance vision.