How What will my academy be like?

I will buy a big villa near the beach, with a lot lots of rooms ready to host students from all the countries of every country in the world.
There will be a big swimming pool and a BBQ, and enough space for celebrate to throw parties and set hold outdoor Spanish classes and play summer sports.

How What will my academy be like?

I will buy a big villa near the beach, with a lot of rooms ready to host students from all the countries of the world.
There will be a big swimming pool and a BBQ, and enough space for celebrate parties, and set outdoor Spanish classes and (playing) summer sports.

Sounds like a great idea.. I wish you lots of luck!

Note that prepositions may be followed by nouns or verbs converted into nouns by adding the suffix "-ing." Unspecified verbs that serve merely to introduce a noun without adding any additional information can safely be omitted.