On average across the year, no, New Hampshire is not hotter than California . New Hampshire has an average temperature of 9°C/48°F and California has an average temperature of 18°C/64°F.
New Hampshire's hottest month is July, with an average maximum temperature of 29°C/84°F, which is not hotter than California's hottest month (also July, with an average maximum temperature of 30°C/86°F).
On average across the year, yes, New Hampshire is colder than California . New Hampshire has an average minimum temperature of 3°C/37°F and California has an average minimum temperature of 12°C/54°F.
New Hampshire's coldest month is January, with an average minimum temperature of -9°C/16°F, which is colder than California's coldest month (December, with an average minimum temperature of 6°C/43°F).
On average across the year, yes, New Hampshire has more rain than California. New Hampshire has an average annual rainfall of 1196mm and California has an average annual rainfall of 261mm.
New Hampshire's wettest month is October, with an average monthly rainfall of 130mm, which is wetter than California's wettest month (December, with an average monthly rainfall of 56mm).