A planet-sized object in the Kuiper Belt is going to be little more than a large chunk of ice. There may be some minerals or other useful resources and elements there but from the planet the Sun is barely going to be distinguishable from any other star in the sky. In short, the object's surface temperature is going to be somewhere between "really damn cold" and "so damn cold all atmoic motion in your body comes screeching to a halt."
Actually, no. If it
formed there, then it would be. But as I said, current thinking is that dozens of planets may have formed in the inner system and been ejected by Jovian migration. There could be planets out there with size and composition similiar to Venus, Earth, and Mars. And large planets have internal heat, cores that are molten due to the heat of their formation and the radioisotopes they contain. The larger the planet, the longer it takes to cool off. As I believe I already mentioned up above, it's possible that a trans-Neptunian planet, or even a rogue planet ejected entirely into interstellar space, could retain internal heat for billions of years. It could theoretically be habitable on the surface, or at the very least could have life-bearing oceans under a crust of ice.
Oh, and just being the same size as the Earth doesn't guarantee Earth-like gravity.
Well, yes, if its density is different, there would be variations in the level of gravity. But if we're talking about a planet of terrestrial composition, i.e. mostly silicates and metal like a planet formed in the inner system rather than largely made of ice like a body formed further out, then there wouldn't be that much variation in the possible gravity.
Now, Earth is basically 67.5% silicates and 32.5% iron (to simplify). If a planet of Earth's mass were made entirely of silicates, it would have a radius 1.04 times that of Earth and a surface gravity of 0.925
g. If a one-Earth-mass planet were 70% iron like Mercury, it would have a radius 0.88 times Earth's and a surface gravity of 1.29
g. So we're not talking about that huge a swing in gravity levels. The only way an Earth-sized planet would be wildly different from Earth gravity is if it were made mostly of ice, which isn't going to happen if it was formed in the inner system.
IIRC, the thought is that Venus is mostly covered in liquid. Great place to park a houseboat.

Uhh, yeah, that was the thought
fifty years ago, before we used radar to map its surface and sent probes to land there. We've known since the 1960s that Venus is the driest place in the Solar System, hellishly hot and arid.