There is no "traditional way, like a vineyard". Depending on the regions, there are many different traditional ways.
I would leave as it is now, but remove all extra shots that will grow outside the 3 branches. So it should be growth well and balanced. You can remove all grapes (or maybe you can leave one just to see it), so that the plant will grow faster, this year.
I expect next winter you need to do a huge pruning, but it is OK: the vine will store all energy on roots. So you can choose the form. Probably I would choose one or two long branches (5-7 buds) and two short branches.
If the weather, water, fertilizer, variety are not very strong, you need one or two additional years. But it is much easier to water and to have a good position, for a single vine, then in a vineyard, so your plant will grow faster.