The legislature has most of the power, but it doesn’t meet very often.
The Governor’s job is mostly attending barbecues and cutting the red ribbon to open new shopping malls. It is the second least powerful gubernatorial job in the country, tho I forget which state’s is weaker. We mostly elect Governors based on Good Ol’ Boy persona, who’s a mightier kegstander, and for winning grin. That’s semi-serious, but there’s no other reason an insufferable douche like Rick Perry would be elected as many times as he has been --he’s the GLG (Good Lookin’ Guvnarr).
George Bush really didn’t do a whole lot as governor. He couldn’t have, even if he did, because the job is so weak, but even if it wasn’t he didn’t anyway. I mean, he didn’t bother us no mind, which I reckon’s alright, on account’a that’s mostly all’s we want in a Texas Governor, seeing how the current constitution’s set up after a vicious mob stormed the Capitol (with ladders, guards blocked the ground floor so they had to climb through the windows), snatched the carpetbaggin’ Gov. Davis and railroaded him out of town and ended Reconstruction in the same day. After that, all they wanted in a state government was one that write legislation congratulation high school football teams and declaring holidays after Jesus.