I've never been to a Buddhist wedding
Traditionally, there is no such thing, because marriage is regarded purely as a civil, secular institution. Buddhist monks and nuns would not normally officiate at weddings, but it is common to obtain a blessing at your local temple afterwards. However, in countries with a cultural tradition of weddings being performed in a religious context, some Buddhists do seek an "all in one" ceremony combining legal marriage with religious blessing, and some Mahayana "clergy"* have become civil marriage celebrants in order to offer this service. Theravada "clergy"* will not, or at least I have not heard of their doing so, as traditionally it is contrary to their rules of conduct.
*English is difficult here. Buddhism does not really have the equivalent of a Christian priest. Monk or nun are closer, but they are specifically gendered terms which are not appropriate. Monastic is sometimes used as a noun to avoid the gender problem, but it sounds a little clumsy.
Ordination of women in Buddhism is a complex issue. The Lord Buddha established the female
sangha (I am using the word in its original, specifically monastic sense) within just a few years of the male, and it flourished for centuries. In the Theravada tradition it appears to have died out around the time of the European Middle Ages, but in the Mahayana tradition of China, Korea and Japan, the ordination of women continued unbroken to the present day.