If it has no varnish, light sand then oil. If varnished very good sand using a electric sander, medium first sand then finer the second sand, wipe down to get all dust off then oil. If you use a combo of linseed and turpentine make sure you use gum turpentine. Use more turpentine to start off as will penetrate the wood better. Good luck

Were you meaning to add this photo from your ideabook? If not, I'll can go back and delete this reply.

What a beautiful room, table is great, I love transparent furniture also it could work well with your room, I can imagine it with your table but a more luxe look could be stainless to blend with benchtops or leather or be brave and mix it up for a more contemporary look, depends on the style you are after, fab room

Love it! Find some ultimate bathroom vanities designs here https://www.abiinteriors.com.au/product-category/cabinetry/bathroom_vanities/ in different colors.