Its may be some thunderstorms now and then. Hard to say. But Im sure you will be able to complete your training. You gonna fly IFR, so it makes its much more easier.
It also will depend on the school. Some schools have programs, that they would follow no matter what.
Lets say your next flight should be to SRQ (Sarasota). But there is thunderstorms.
Some schools, will allowed you to fly to let say MLB (Melbourne) or ORL (Orlando) instead. But some schools gonna tell you, that you have to wait for better wether at SRQ, because that their program.
So, find a good school and you will be fine
