I had same op as you. In all honesty, I don't think my recovery was necessarily normal ie I was walking around the day afterwards (hospital said I had to) and then didn't stop.
I was told to walk every single day for a minimum of 10 mins and then increase that by 5 mins per day. I actually walked slightly more than that but I can honestly say, I knew when to stop. I wasn't ever in pain but I did get tired. The mega tiredness lasted for approx 3 weeks.
I tried not to lift a thing ie I would walk to the shops twice a day and only buy one thing - I didnt really need anything but it meant I had a routine. I also made myself get out of bed and shower, maybe strange but again, I felt it was better to have a routine quite early on.
In terms of weekly changes, well, I just became stronger and less tired. I didn't have to take a nap in the afternoon and found my stomach muscles gradually returned.
I was assigned a nurse who contacted me each week or so (normal for my hospital) and she basically said that what I was doing in terms of exercise was fine.
I had a check up 6 weeks after the op and then went bk to work the following day.
Ultimately you must take advice from the hospital (I was given exercises to do for example) but thankfully found the whole experience much easier than expected. It was a relief actually as I had been through 2 yrs of sheer hell prior to having the op.
I hope your recovery is straight forward 