When I first started looking after my youngest grandson he was 9 months old. He was used to being played 'with' all the time. I has him three days a week and one night overnight. At first he was very demanding and he was used to having an endless selection of toys to play with.
So I made a conscious decision to 'ignore' him for about 30 minutes and give him a limited selection of age-appropriate toys. He was crawling and cruising by this age so was able to access the toys i had chosen.
I would pick up my newspaper and attempt the sudoku (I was of course watching him overtly). It took a couple of days before he learned to play by himself.
I of course still played 'with' him too. Now he is turned two. His concentration span is amazing. He will play long and complicated games with his toys for ever increasing lengths of time, and with his cousins who now join him one day a week.
We also bake, paint, sing songs, dance, eat, dress up, talk, watch the odd bit of TV, go shopping, garden, walk the dogs, visit places and generally because he's so portable and happy to join in with us we just get on with life and take him with us where we want to go.
Since he turned 2 we give him pocket money which he puts in his piggy bank at our house. He now has £10. Nearer Christmas we'll take it out and let him buy something of his own choice with it.
Also since he turned 2 we use the naughty step. He's been put there once only!
He's a lovely child, we love him dearly and he loves coming to our house and we love having him. We don't have to 'entertain' him we just enjoy him.