Buchholz allowed one hit and one walk to finish Spring Training with a 0.79 ERA over 22 1/3 innings.
"I just want to make a smooth transition into the season and carry everything we've done to prepare for that first start and just keep doing the same thing," said Buchholz. "It's going to be the same game. Just going to be a few more people watching you do it."
Joel Hanrahan, Boston's new closer, fired a scoreless fifth inning.
Kevin Correia was sharp for the Twins in his start, giving up five hits and a run over five innings, walking one and striking out one.
Jacoby Ellsbury had two hits and a walk from the leadoff spot in his first game action since Sunday. The center fielder had been sidelined with a jammed right heel. Ellsbury helped the Red Sox manufacture a run in the first when he hit what looked to be a routine single to right and then hustled into second for a double.
David Ross drilled a two-run single in the sixth to score Shane Victorino and Jackie Bradley Jr., who had both moved up on a double steal.
The Twins scored their first run in the top of the eighth when Jonathan Goncalves hit an RBI single against Alfredo Aceves.
Up next: Right-hander Cole De Vries, who is competing with Liam Hendricks to see who will stay in the rotation after Scott Diamond returns from the disabled list, will get his final Grapefruit League start at 12:05 p.m. CT on Friday afternoon against the Red Sox at Hammond Stadium.