Yes, you will walk, and be doing it pain and limp free. Just give your body the time it needs to heal.
My surgeon told me *not* to run, but I am back up to doing 75km rides on my road bike, and will do a nice gentle twirl on my mountain this evening, when it cools down a bit. I also ride my indoor trainer most week nights, and I am planning to do laps in the gym pool this holiday. Walking, cycling and swimming are forgiving, and allow you to keep fit without jarring your beautiful new hip.
Of course, you will wait a good few months to get clearance to do any of these activities. Active people are most at risk in early recovery, cos we feel lazy when not exercising, but this is a dangerous state of mind, which actually set me back in the early weeks of my recovery. I jumped back in too quick, and caused needless psoas inflammation. So, its a case of do as I say, not do as I do!
Read the activity progression progression article posted by Layla.
I hope you have a good day, and a wonderful weekend.