well I suppose you could sand it and oil it. Sanding it will make it pale, most likely, and it will darken with exposure to light and air. Pine usually has lots of knots and will be made of square staves glued together, a bit like a butchers block.
Wood oils are usually vegetable oils of some kind, you could use a cooking oil and polish off so any excess so it doesn't go sticky (I use linseed oil on outside hardwoods as it is supposed to be quite hard wearing).
Or you could just sand it, no oil, and scrub it clean, but you will get black mould stains if it is damp, like round a sink.
Or you could cover it with zinc sheet if you want an old kitchen look.
The most practical, cheap and hygenic kitchen worktop really is.... laminated kitchen worktop, if you can find one you like, there is a vast range, and there will be a laminate merchant in your town who carries or orders even more, for use by shopfitters and hotels.