From Abbott’s announcement: 

Effective June 3:

All businesses currently operating at 25% capacity can expand their occupancy to 50% with certain exceptions. 

Bars and similar establishments may increase their capacity to 50% as long as patrons are seated.

Amusement parks and carnivals in counties with less than 1,000 confirmed positive cases may open at 50% capacity. 

Restaurants may expand their maximum table size from 6 to 10 persons.

Effective June 12:

Restaurants may expand their occupancy levels to 75%.  

Counties with 10 or less active COVID-19 cases may expand their occupancy limits to 75%. Counties that fit this category but have not previously filed an attestation with DSHS will need to do so.

Effective June 19:

Amusement parks and carnivals in counties with more than 1,000 confirmed positive cases of COVID-19 may open at 50% capacity.

Additionally, Abbott has issued new special guidance on outdoor events, such as Independence Day celebrations, but cautions that “it is imperative that local officials and public health officials collaborate on safe standards.”

The executive order can be viewed here.