I can't see anything irregular here. An executor of a will can't get probate until he/she is in a position to provide the Probate Office with all of the relevant information. Collecting this together can take several months, so applying for a grant of probate in February, following a death in August is not at all unusual.
As far as having a formal reading of the will is concerned, your aunt is only following normal practice. (I used to write wills for a living and my cousin is a solicitor who deals with them all of the time. Neither of us have ever heard of anyone actually having a formal reading of a will, where the solicitor gathers everyone together to learn of their inheritance. It's a common scene in old movies but it just doesn't happen in real life).
It's not clear from your question whether your aunt has engaged the services of a solicitor to seek probate (rather than to hold a formal reading of the will). If she has not done so, she is to be congratulated. Obtaining probate is a simple process which anyone with half a brain cell can do. Far too many people waste money employing a solicitor. (Even my solicitor cousin would agree with that!).
However, if your aunt has employed a solicitor, Kate's advice is misleading. There is no obligation on the solicitor (who is acting as your aunt's agent) to reveal any information to any third party. Your right to know the contents of the will only commence from the time when the will has been 'proved' and probate obtained. At this point the will becomes a public document which can be consulted by anyone. (It's also at this point that the executor of the will, who would seem to be your aunt, takes on the duty of distributing the estate, according to the contents of the will).
All you can do is to be patient and wait until probate has been obtained.
Chris