There is a lot of disagreement among Christians on this question. Some believe that we should be seeing healing and miracles all the time in the church, while others believe that these gifts faded away with the foundations that the apostles laid in the early church.
In a previous post I argued that the gift of working of miracles is not for today. In this post Alistair Anderton argues the same for the gift of healing.
The book of Acts in the New Testament has many accounts of miraculous healing. Acts 3 is a classic: