As Brian mentioned, it is the empowering of the Holy Spirit that doesn't necessarily happen at the moment of belief, but the indwelling does according to CC doctrine.
Absolutely. Some CC's have a heavier emphasis on the gifts than others. Ask your pastor about these topics, as some CC's are more Baptist than Pentecostal, and others are more "Bapticostal". The ones that were more Pentecostal split and started the Vineyard fellowships from what I understand. The CC I attended for years didn't express the gifts of the Spirit in a congregational setting, but the Pastor taught on the gifts, and we definitely believed in their operation today.
CC's generally teach verse by verse through the Bible, and if the topics aren't part of the Scripture covered, they generally won't be commented on. Teaching verse by verse and believing in the gifts of the Spirit for today are two of the main CC emphasis'. I agree with Brian, you should read Chuck Smith's book: Calvary Chapel Distinctives. It is very helpful in giving you an overview of what CC's are all about. Ask your Pastor for a copy, he might have them on hand.
God bless;
Michael