Jio Hotstar has exclusive rights to IPL streaming in India. You can watch live matches there on their app or website if you have a subscription. For live score updates check Cricbuzz, ESPN Cricinfo or the official IPL app. These apps give ball by ball commentary and live scores.
You can also follow official IPL and team Twitter accounts for instant updates. If you have DTH or cable TV channels like Star Sports show all IPL matches live. For live scores without video just search Google for the match and scores show up instantly. Some matches may be available on YouTube as well depending on broadcasting rights. Most of these platforms offer both free limited content and premium subscriptions for full coverage.