Obviously "what would a terraformed Mars be like" is a very difficult question to answer conclusively but based on the stuff I've read here and there
It would still be colder than Earth. Partly because of its greater distance from the Sun but also partly because it would have to have lower temperatures to retain oxygen in its atmosphere at its lower gravity - it's that or raise the atmospheric pressure by pumping it full of heavy gases like CO2 to an extent that would be Not Great for us
It would also be much wetter, because since the whole planet is smaller, a greater percentage of the land area would receive precipitation
The atmosphere might be thicker but I think it would still feel thinner between the lower gravity and the lower oxygen concentration
Overall I would not be surprised if conditions at Mars's sea level felt like conditions in a moderately high mountain range on Earth
I would also not be surprised if clouds formed faster and at lower altitudes as well, which would also help with the "being wetter" thing. Also, fog would be very common, especially near the coasts and the edges of the Tharsis Plateau
Speaking of Tharsis, it as well as Planum Boreum Insula Borea and Planum Australe would have fairly significant ice caps - more like Earth's ice caps than Mars's current polar caps. And these, especially in the case of the Planum Australe glacier, would probably be sources of both wind and snow
Most depictions of a terraformed Mars assume that the coast would more-or-less follow the Martian Dichotomy, which would mean a massive ocean covering most of the northern hemisphere and a more massive continent over most of the southern one. I am not entirely sure how this affects the climate but my best guess is that every landmass in the northern hemisphere would be drenched while in the south, every summer massive rains (and snows, thank you Tharsis) would come in from the north and drench everything as far as 25 degrees south. Then there'd be a smooth transition to a dryer subtropical zone, followed by another transition to a very wet tundra thanks to all the snows and meltwater from the southern glaciers
So basically, as you go from the Martian equator to the south Pole, it would be like going from the wettest part of the Scottish Highlands, to Ukraine's Pontic Steppe, to the wettest part of Siberia, and finally to Antarctica
Again. All this is highly subjective and speculative. And also worth noting that terraforming Mars would be a cool flex on our species's part but also incredibly difficult and time-consuming and not exactly a solution to anything