Been Putting and Chipping for last 2 week-ends combined with my 3 times per week to the gym for elliptical (1-2 miles), and stationary bike (5 miles) program.
Dr. Gross told me golf is more twisting than pounding on the joint although IMO there is a lower body "Plant & drive" forward. Dr. Gross cleared me for golf, just easy on not overdoing the walking (walking 18 is about 5-6 miles), vs. using a cart
Yesterday I decided to take a few full swings in the sand, and felt good.
So I took my gap wedge and pitching wedge to the range for a few practice swings and hit about 25 balls.
Took me a few to get comfortable on alignment and OMG have not seen my wedges fly that high and carry in a couple of years. Did have a tendency to pull a bit, but I suspect that is because I am getting behind the ball with this new hip and hitting from the inside.
Now I am fairly conservative and careful by nature, and pleased to report no aftermath pain today, but I am going to gradually work up a little more each weekend on full swings (using the Driver is an all out swing vs. wedges are a little easier), and even walk with the boys for 9 holes without golfing.
I was targetting my return to my golf club and the camaraderie for August 1 - I suspect it will now be July 1-15 so quite optimistic!

Good stuff... nice that you're taking it slow, but if he says it's fine, go for it.