Add another vote for:
1) You should expect personal privacy
2) It may be difficult to get with this situation
3) No real reason to move from Vanguard to Schwab in the first place
Adding details:
This is a fairly common occurrence, for parents to be interested in, and have their children see their adviser. It is probably a good thing to know this person, even if just for estate planning purposes. For the advisor, it's a way to keep the money in service when the generations change.
To do this, they probably have you set up as an account under your Dad's. From Schwab' s website:
Dedicated Financial Consultants are generally made available to clients with $250,000 or more in assets at Schwab.https://www.schwab.com/invest-with-us/professional-adviceSo, you don't qualify for this service on your own with less than $250k invested. This may go so far as having your account statement sent to your Dad, as one of his "attached accounts." Or perhaps it is being done informally.
You might be feeling nervous about investing, but there is a reason for the account minimums: the company is expecting to generate income from your account with fees. And less than $250k (which is fairly low for this type of thing) doesn't generate a lot for them. On the other hand, it will cost you a *lot*, as a percentage of your assets--even more than the regularly-reported 1%.
I am sure it was viewed as a favor to you, but this is likely not a good match for your needs if you are starting out. And the more you read here, you will find it's largely unnecessary given the investment options now available.