Музеи

Мне нравится ходить в музей искусстве/искусства (genitive case) в Сан-Антонио.
Я предпочитаю исторические картины.
Я хочу поехать/сходить  (Поехать is using, when you meen "to go somewhere on a vehicle") в музей в Италии.
Я могу читать (It's better to say "умею читать", because "умею" means "I have a skill", but "могу" means "i capable to do something", like when you feel bad and somebody is asking you "Can you get up?/Вы можете встать?" - "Yes, i can"/ Дa, я могу" or "Can you reach to the top shelf?/Вы можете достать до верхней полки?") информацию на итальянском языке.
Тогда (The context is important, because the word "Тогда" is using when we are talking about an aftermath of previous actions, but it's better to say "Затем" or "После" if we are talking about an action from a list of actions) красивая итальянская женщина, и я можем ест/сможем поесть (if you mean "to have a good time eating a food" or съесть (if you want to gelato will be eaten by you and a woman) , гелато вместе.

I like going to the art museum in San Antonio.
I prefer historical paintings.
I want to go to a museum in Italy.
I can read the information in Italian.
Then a beautiful Italian woman and I can eat gelato.