I hope (that) she's having a wonderful time.I hope (that) it's sunny where you are.We can use the present simple (mostly for stative verbs) or the present continuous.
We can also use two short answers: 'I hope so' and 'I hope not'. We usually need to use '(that) + clause' after 'hope' or 'to + infinitive'. On the other hand, we use 'wish' to talk about things that are impossible or unlikely. We use 'hope' to talk about things in the present or future that we think have a good chance of happening.