bulma thought vegeta was cute
yes.
they get married.
No. He has a relationship with Bulma, but they aren't married.
There is no episode to which Bulma and Vegeta get married. Although, sometime in the series, Vegeta does refer to Bulma as his wife, but like I said above, no episode of the two getting married.
It's unknown whether or not Vegeta and Bulma actually get married. Although Vegeta refers to Bulma as his wife, and Bulma refers to Vegeta as her husband, it's unconfirmed whether or not they actually did get married. However, if they did, it most likely took place in one of the peaceful times: either the 7 years peace after the Cell games, or (more likely), the 10 years of peace after the Majin Buu events.
Of course. They end up getting married.
Bulma. They married and had two children-Trunks and Bra.
bulma pick vegeta because she love him
Vegeta
yes and they have a son named trunks No, they are not married in the sense that we know marriage. Vegeta views Bulma as his "mate", and thus they just reference each other as married couples would.
yes they do and have a son and daughter.