Yes a money market or online savings account will be your safest bet for your emergency fund. 1% obviously isn't awesome, but it's better than zero.
If you wanted to take on a bit more risk you could do a bond fund like LAS suggested (something like VFSTX, which is returning ~2%/yr). Depending on your risk appetite and general financial situation you could also put that into a conservative portfolio of stocks and bonds. Something like 40/60, for example.
That route will open you up to more downside risk, but with more risk there is more reward. You could actually beat inflation going down this route. That said, many aren't a fan of this option because it means your emergency fund is at risk of losing value, which would defeat the purpose of it being there for emergencies.
I'm in the middle on it. A lot depends on your risk appetite - will you get nervous when the market drops? How secure is your income? Is it recession proof? Can you cover expenses another way in case something happens? Will you still be able to sleep easy knowing your emergency fund carries downside risk?
Most of the time you wouldn't necessarily need that full $30k on day 1 of an emergency, so having to wait a couple of days for funds to transfer shouldn't be a big deal. If you did need a big chunk immediately, you could also use credit cards to pay while you wait for your funds to transfer, then pay off the cards with the fund.