The way you phrased the question, the answer is unequivocally yes. It is certainly easier for the GOP to pass laws now that they have a majority in the Senate. Technically it'd be easier if they won even a single seat.
But is it significantly easier? Only a little. The Republicans lack a filibuster-proof majority, so they'd need at least six Democrats on their side just to send something to the President's desk. Assuming the President vetoes the bill, they'd need twelve Democrats to override the veto. So in many ways, the status quo remains: only bills with strong bipartisan support are getting passed.
But there are some clear advantages. Republicans now have the power to call up votes in the Senate and rush bills through committees, and control the amendment process. The end result is that they can force Democrats and the President to take a stance on politically thorny issues, where public approval is on the Republican side. I wouldn't be shocked if they managed to get the Keystone Pipeline on the President's desk.
Probably more important is the political advantage. Republicans were largely painted as "obstructionists" for the past six years for using the threat of filibuster to block bills. With the tables turned, blame for gridlock is squarely in the Democrats' court. If Republicans put up lots of bills, the Democrats can only block so many before public pressure gets them to agree to a few.