The full document is worth a read, but I have highlighted above the lines that matter at the moment.
What has happened is that the Greek central bank is going to put in an ELA request to the governing council next week seeking a threshold below which it can conduct ELA for Greek banks, should it be needed.
For their part, two of the Greek banks (Alpha and Eurobank) have already confirmed that they are seeking access to an ELA line. That is not to say that these banks are seeking ELA right now to fund a bank run, but rather that they can envisage a scenario where they would need ELA, so are putting in for a precautionary line in good time. I guess we could call this 'precautionary ELA' or 'PELA'. It would be reasonable to expect that the other Greek banks have also been contacted by the Greek central bank for their needs under a stress scenario.
In this case, the stress scenario seems to be Syriza winning the election (very likely) and doing something very stupid (less likely).
Before the ELA rules were updated, an national central bank had a lot of control over how and when it gave ELA. The current Greek situation is the first time we are seeing the new rules being used. The ex-ante permission requirement from the governing council means that the ECB has effectively invented a new monetary policy instrument: PELA.
In the 2008/09 crisis the only evidence that ELA existed was that stressed euro area banks were not closing down. Throughout the Greek crisis from 2011, ELA had become common knowledge, but banks were still secretive about it. However, again, no banks were failing catastrophically.
So, under the current scenario, where banks will have a PELA, there is a chance that they could forestall the worst of any panic. A bit like OMT, I suppose. Because the market knew in 2012 OMT existed, it acting like refinancing risk for sovereigns had dropped, thereby making refinancing risk drop. Likewise, if bank creditors know the banks have a PELA, they should be less likely to withdraw funding from those banks. Meaning the PELA is less likely to become ELA.
If you are interested to see if ELA is being used, the best place to get an idea is the weekly ECB financial statement. Asset item 6 is where ELA appears, so if it takes a meaningful jump, that'll be ELA.