How exciting that you have a daughter who wants to go, do, learn, explore, etc. Check out your local public libraries. Some have more programs than others. Find all the parks in your area. Kids learn so much about themselves as they move about and try out different playground equipment. Go the the pet stores and let her see different animals. They will allow her to touch some of them. (Just be sure to tell her ahead of time that you are visiting, not buying.)
You can also set up an area at home that can be like school. You can buy workbooks at Walmart or any store that has books. You can get a small white board for her to practice letters and numbers, shapes, etc.
Find some safety scissors, glue, crayons, etc. for her to create. You may have to prompt her if she doesn't have ideas on her own. Google "4 year old arts and crafts" for ideas. Most kids rely on their parents to entertain them. Teach your daughter to come up with stuff to do on her own. Give her lots of materials to choose from and let her create. You can show her some things that you like to do but encourage her to come up with stuff on her own.
Put boxes together for her to climb through or stand in. Make "windows" to look out of.
Google "fun foods for kids to make" and teach her how to cook. My kids loved making soft pretzels. I would make long ropes of dough and they would put them into shapes they liked. You can Google just about any recipe you want.
Take lots of pictures. Show her how you can save them on the computer. Let her press the buttons if she is not already comfortable on the computer.
You can also Google "fun things to do with a 4 year old." My kids loved the park and going on a scavenger hunt. Sometimes I made a list of things to find. Other times they just looked for things to collect. You can bring a little bag or you can put some masking tape backwards on her wrists and let her stick on little things that she picks up. Find a trail along the bayous or trails in a local park. This is a great time to explore this beautiful creation.