I don't know what the rules are over there, but in the UK if you get married in an established church (RC, CofE, etc.), then you get the civil union at the same time. If you're not religious, you can just do the legal bit in a registry office or some other place licensed to do it.
yes, it's the same. you go get a marriage license. you fill it out. you get it notarized. you turn it in. you're married. a notary public is all you need to get married. when my boyfriend's dad got married, his friend (a notary) married them. my boyfriend and i were the witnesses. you can get any old person to be your witnesses. you can get drunk people standing next to you to be your witnesses. that's how it works. now, i don't know if a pastor has to be a notary or if there is a special church registry that works a little differently. i've never gotten married. i have no idea.